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31894424900 = 22521324534173
BaseRepresentation
bin11101101101000011…
…100100110101000100
310001022202222122210022
4131231003210311010
51010304433044100
622352504114312
72206242065342
oct355503446504
9101282878708
1031894424900
1112587631548
126221465998
1330139c6190
141787ca0992
15c6a0d4e85
hex76d0e4d44

31894424900 has 36 divisors (see below), whose sum is σ = 74534820612. Its totient is φ = 11776402560.

The previous prime is 31894424869. The next prime is 31894424929. The reversal of 31894424900 is 942449813.

It can be written as a sum of positive squares in 6 ways, for example, as 4523369536 + 27371055364 = 67256^2 + 165442^2 .

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 11 ways as a sum of consecutive naturals, for example, 12265787 + ... + 12268386.

Almost surely, 231894424900 is an apocalyptic number.

It is an amenable number.

31894424900 is an abundant number, since it is smaller than the sum of its proper divisors (42640395712).

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

31894424900 is a wasteful number, since it uses less digits than its factorization.

31894424900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24534200 (or 24534193 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 31894424900 in words is "thirty-one billion, eight hundred ninety-four million, four hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 24534173 49068346 98136692 122670865 245341730 318944249 490683460 613354325 637888498 1226708650 1275776996 1594721245 2453417300 3189442490 6378884980 7973606225 15947212450 31894424900