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31068891936 = 2532391727541
BaseRepresentation
bin11100111011110110…
…011010101100100000
32222012020121020110100
4130323312122230200
51002112114020221
622134534102400
72146626136605
oct347366325440
988166536410
1031068891936
11121a36413a5
126030aaaa00
132c11973634
14170a3aa6ac
15c1c8b7926
hex73bd9ab20

31068891936 has 72 divisors (see below), whose sum is σ = 88377926364. Its totient is φ = 10353277440.

The previous prime is 31068891913. The next prime is 31068891961. The reversal of 31068891936 is 63919886013.

31068891936 is a `hidden beast` number, since 310 + 68 + 89 + 193 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30640401936 + 428490000 = 175044^2 + 20700^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×310688919362 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1114326 + ... + 1141866.

Almost surely, 231068891936 is an apocalyptic number.

31068891936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31068891936 is an abundant number, since it is smaller than the sum of its proper divisors (57309034428).

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

31068891936 is a wasteful number, since it uses less digits than its factorization.

31068891936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31474 (or 31463 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 31068891936 in words is "thirty-one billion, sixty-eight million, eight hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3917 7834 11751 15668 23502 27541 31336 35253 47004 55082 62672 70506 82623 94008 110164 125344 141012 165246 188016 220328 247869 282024 330492 376032 440656 495738 564048 660984 881312 991476 1128096 1321968 1982952 2643936 3965904 7931808 107878097 215756194 323634291 431512388 647268582 863024776 970902873 1294537164 1726049552 1941805746 2589074328 3452099104 3883611492 5178148656 7767222984 10356297312 15534445968 31068891936