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108093986952 = 233719103328777
BaseRepresentation
bin110010010101011100…
…1110101100010001000
3101100000020220111000020
41210222321311202020
53232334030040302
6121354021140440
710544445505050
oct1445271654210
9340006814006
10108093986952
114192a268316
1218b4855a720
13a26866c433
145335dd2560
152c29aecebc
hex192ae75888

108093986952 has 128 divisors (see below), whose sum is σ = 328251955200. Its totient is φ = 28974371328.

The previous prime is 108093986951. The next prime is 108093986981. The reversal of 108093986952 is 259689390801.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (108093986951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164388 + ... + 493164.

It is an arithmetic number, because the mean of its divisors is an integer number (2564468400).

Almost surely, 2108093986952 is an apocalyptic number.

108093986952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 328776×328777.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108093986952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164125977600).

108093986952 is an abundant number, since it is smaller than the sum of its proper divisors (220157968248).

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

108093986952 is a wasteful number, since it uses less digits than its factorization.

108093986952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328915 (or 328911 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 108093986952 in words is "one hundred eight billion, ninety-three million, nine hundred eighty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 103 114 133 152 168 206 228 266 309 399 412 456 532 618 721 798 824 1064 1236 1442 1596 1957 2163 2472 2884 3192 3914 4326 5768 5871 7828 8652 11742 13699 15656 17304 23484 27398 41097 46968 54796 82194 109592 164388 328776 328777 657554 986331 1315108 1972662 2301439 2630216 3945324 4602878 6246763 6904317 7890648 9205756 12493526 13808634 18411512 18740289 24987052 27617268 33864031 37480578 43727341 49974104 55234536 67728062 74961156 87454682 101592093 131182023 135456124 149922312 174909364 203184186 237048217 262364046 270912248 349818728 406368372 474096434 524728092 643416589 711144651 812736744 948192868 1049456184 1286833178 1422289302 1896385736 1930249767 2573666356 2844578604 3860499534 4503916123 5147332712 5689157208 7720999068 9007832246 13511748369 15441998136 18015664492 27023496738 36031328984 54046993476 108093986952