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31857680928 = 2534138920807
BaseRepresentation
bin11101101010110111…
…011010001000100000
310001020012211212112110
4131222313122020200
51010221031242203
622345112355320
72205314551143
oct355267321040
9101205755473
1031857680928
1112568915227
1262110a5b40
1330091cc698
14178305805a
15c66c77d03
hex76adda220

31857680928 has 96 divisors (see below), whose sum is σ = 85890430080. Its totient is φ = 10333091840.

The previous prime is 31857680917. The next prime is 31857680957. The reversal of 31857680928 is 82908675813.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×318576809282 (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520701 + ... + 1541507.

It is an arithmetic number, because the mean of its divisors is an integer number (894691980).

Almost surely, 231857680928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31857680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42945215040).

31857680928 is an abundant number, since it is smaller than the sum of its proper divisors (54032749152).

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

31857680928 is a wasteful number, since it uses less digits than its factorization.

31857680928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21250 (or 21242 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 31857680928 in words is "thirty-one billion, eight hundred fifty-seven million, six hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 389 492 656 778 984 1167 1312 1556 1968 2334 3112 3936 4668 6224 9336 12448 15949 18672 20807 31898 37344 41614 47847 62421 63796 83228 95694 124842 127592 166456 191388 249684 255184 332912 382776 499368 510368 665824 765552 853087 998736 1531104 1706174 1997472 2559261 3412348 5118522 6824696 8093923 10237044 13649392 16187846 20474088 24281769 27298784 32375692 40948176 48563538 64751384 81896352 97127076 129502768 194254152 259005536 331850843 388508304 663701686 777016608 995552529 1327403372 1991105058 2654806744 3982210116 5309613488 7964420232 10619226976 15928840464 31857680928