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31608572945 = 589337210773
BaseRepresentation
bin11101011100000001…
…001000110000010001
310000120212002212121212
4131130001020300101
51004213243313240
622304253225505
72166201302615
oct353401106021
9100525085555
1031608572945
1112450240764
126161792295
132c99710001
14175bd31345
15c4ee6d165
hex75c048c11

31608572945 has 16 divisors (see below), whose sum is σ = 38470470480. Its totient is φ = 24928425984.

The previous prime is 31608572929. The next prime is 31608572951. The reversal of 31608572945 is 54927580613.

It is a happy number.

It is a Cunningham number, because it is equal to 1777882+1.

It can be written as a sum of positive squares in 8 ways, for example, as 9238285456 + 22370287489 = 96116^2 + 149567^2 .

It is a cyclic number.

It is not a de Polignac number, because 31608572945 - 24 = 31608572929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31608572893 and 31608572902.

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 15 ways as a sum of consecutive naturals, for example, 44579 + ... + 255351.

It is an arithmetic number, because the mean of its divisors is an integer number (2404404405).

It is a 2-persistent number, because it is pandigital, and so is 2⋅31608572945 = 63217145890, but 3⋅31608572945 = 94825718835 is not.

Almost surely, 231608572945 is an apocalyptic number.

It is an amenable number.

31608572945 is a deficient number, since it is larger than the sum of its proper divisors (6861897535).

31608572945 is a wasteful number, since it uses less digits than its factorization.

31608572945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211204.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 31608572945 in words is "thirty-one billion, six hundred eight million, five hundred seventy-two thousand, nine hundred forty-five".

Divisors: 1 5 89 337 445 1685 29993 149965 210773 1053865 18758797 71030501 93793985 355152505 6321714589 31608572945