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31950102672 = 243510975391
BaseRepresentation
bin11101110000010111…
…111110000010010000
310001110122202101100000
4131300113332002100
51010413211241142
622402213330000
72210516251245
oct356027760220
9101418671300
1031950102672
1112606000034
126238036900
1330223bb9c7
1417914355cc
15c6ee3214c
hex7705fe090

31950102672 has 120 divisors (see below), whose sum is σ = 93579566080. Its totient is φ = 10552187520.

The previous prime is 31950102661. The next prime is 31950102713. The reversal of 31950102672 is 27620105913.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 386097 + ... + 461487.

Almost surely, 231950102672 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 31950102672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46789783040).

31950102672 is an abundant number, since it is smaller than the sum of its proper divisors (61629463408).

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

31950102672 is a wasteful number, since it uses less digits than its factorization.

31950102672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75523 (or 75505 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 31950102672 in words is "thirty-one billion, nine hundred fifty million, one hundred two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 243 324 327 432 436 486 648 654 872 972 981 1296 1308 1744 1944 1962 2616 2943 3888 3924 5232 5886 7848 8829 11772 15696 17658 23544 26487 35316 47088 52974 70632 75391 105948 141264 150782 211896 226173 301564 423792 452346 603128 678519 904692 1206256 1357038 1809384 2035557 2714076 3618768 4071114 5428152 6106671 8142228 8217619 10856304 12213342 16284456 16435238 18320013 24426684 24652857 32568912 32870476 36640026 48853368 49305714 65740952 73280052 73958571 97706736 98611428 131481904 146560104 147917142 197222856 221875713 293120208 295834284 394445712 443751426 591668568 665627139 887502852 1183337136 1331254278 1775005704 1996881417 2662508556 3550011408 3993762834 5325017112 7987525668 10650034224 15975051336 31950102672