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108244053177858 = 232132233594309457
BaseRepresentation
bin11000100111001010001000…
…010101101011011000000010
3112012021000211011210220220100
4120213022020111223120002
5103141432310103142413
61022114344225223230
731541242355014413
oct3047121025533002
9465230734726810
10108244053177858
1131543055114114
121018250a491b16
1348524a7a5bc00
141ca307c17780a
15c7aa2241ca73
hex62728856b602

108244053177858 has 144 divisors (see below), whose sum is σ = 265737039085440. Its totient is φ = 31769033826816.

The previous prime is 108244053177811. The next prime is 108244053177859. The reversal of 108244053177858 is 858771350442801.

108244053177858 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 4 + 40 + 531 + 7 + 7 + 8 + 58 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 108244053177795 and 108244053177804.

It is not an unprimeable number, because it can be changed into a prime (108244053177859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22963066 + ... + 27272522.

It is an arithmetic number, because the mean of its divisors is an integer number (1845396104760).

Almost surely, 2108244053177858 is an apocalyptic number.

108244053177858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108244053177858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132868519542720).

108244053177858 is an abundant number, since it is smaller than the sum of its proper divisors (157492985907582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108244053177858 is a wasteful number, since it uses less digits than its factorization.

108244053177858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309873 (or 4309857 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 108244053177858 in words is "one hundred eight trillion, two hundred forty-four billion, fifty-three million, one hundred seventy-seven thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 169 207 234 299 338 359 414 507 598 718 897 1014 1077 1521 1794 2154 2691 3042 3231 3887 4667 5382 6462 7774 8257 9334 11661 14001 16514 23322 24771 28002 34983 42003 49542 60671 69966 74313 84006 107341 121342 148626 182013 214682 322023 364026 546039 644046 966069 1092078 1395433 1932138 2790866 4186299 4309457 8372598 8618914 12558897 12928371 25117794 25856742 38785113 56022941 77570226 99117511 112045882 168068823 198235022 297352533 336137646 504206469 594705066 728298233 892057599 1008412938 1288527643 1456596466 1547095063 1784115198 2184894699 2577055286 3094190126 3865582929 4369789398 4641285189 6554684097 7731165858 9282570378 11596748787 13109368194 13923855567 16750859359 20112235819 23193497574 27847711134 33501718718 35583186449 40224471638 50252578077 60336707457 71166372898 100505156154 106749559347 120673414914 150757734231 181010122371 213499118694 261459065647 301515468462 320248678041 362020244742 462581423837 522918131294 640497356082 784377196941 925162847674 1387744271511 1568754393882 2353131590823 2775488543022 4163232814533 4706263181646 6013558509881 8326465629066 12027117019762 18040675529643 36081351059286 54122026588929 108244053177858