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31182504064 = 271012412013
BaseRepresentation
bin11101000010100111…
…110100000010000000
32222111011101022222221
4131002213310002000
51002330210112224
622154113140424
72152505624365
oct350247640200
988434338887
1031182504064
111225178a918
126062b5a714
132c2c371b4a
14171b50246c
15c2785a6e4
hex7429f4080

31182504064 has 32 divisors (see below), whose sum is σ = 62736484140. Its totient is φ = 15436876800.

The previous prime is 31182504053. The next prime is 31182504077. The reversal of 31182504064 is 46040528113.

It can be written as a sum of positive squares in 2 ways, for example, as 27029990464 + 4152513600 = 164408^2 + 64440^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1193079 + ... + 1218934.

Almost surely, 231182504064 is an apocalyptic number.

It is an amenable number.

31182504064 is an abundant number, since it is smaller than the sum of its proper divisors (31553980076).

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

31182504064 is a wasteful number, since it uses less digits than its factorization.

31182504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412128 (or 2412116 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 31182504064 in words is "thirty-one billion, one hundred eighty-two million, five hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 12928 2412013 4824026 9648052 19296104 38592208 77184416 154368832 243613313 308737664 487226626 974453252 1948906504 3897813008 7795626016 15591252032 31182504064