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108442208631580 = 225193074911893193
BaseRepresentation
bin11000101010000010101011…
…010100101111101100011100
3112012221222021222020221120221
4120222002223110233230130
5103203204120402202310
61022345355104251124
731561456010412445
oct3052025324575434
9465858258227527
10108442208631580
113160a09a7653aa
12101b49b0310aa4
134868096b92085
141cac8b92a82cc
15c80c6d989ada
hex62a0ab52fb1c

108442208631580 has 96 divisors (see below), whose sum is σ = 240985118626560. Its totient is φ = 40876590021120.

The previous prime is 108442208631571. The next prime is 108442208631587. The reversal of 108442208631580 is 85136802244801.

It is a super-2 number, since 2×1084422086315802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108442208631587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56333464 + ... + 58226656.

It is an arithmetic number, because the mean of its divisors is an integer number (2510261652360).

Almost surely, 2108442208631580 is an apocalyptic number.

108442208631580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108442208631580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120492559313280).

108442208631580 is an abundant number, since it is smaller than the sum of its proper divisors (132542909994980).

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

108442208631580 is a wasteful number, since it uses less digits than its factorization.

108442208631580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894019 (or 1894017 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 108442208631580 in words is "one hundred eight trillion, four hundred forty-two billion, two hundred eight million, six hundred thirty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 307 380 491 614 982 1228 1535 1964 2455 3070 4910 5833 6140 9329 9820 11666 18658 23332 29165 37316 46645 58330 93290 116660 150737 186580 301474 602948 753685 1507370 1893193 2864003 3014740 3786386 5728006 7572772 9465965 11456012 14320015 18931930 28640030 35970667 37863860 57280060 71941334 143882668 179853335 359706670 581210251 719413340 929557763 1162420502 1859115526 2324841004 2906051255 3718231052 4647788815 5812102510 9295577630 11042994769 11624205020 17661597497 18591155260 22085989538 35323194994 44171979076 55214973845 70646389988 88307987485 110429947690 176615974970 220859895380 285374233241 353231949940 570748466482 1141496932964 1426871166205 2853742332410 5422110431579 5707484664820 10844220863158 21688441726316 27110552157895 54221104315790 108442208631580