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31413066656 = 259715976337
BaseRepresentation
bin11101010000010111…
…010101101110100000
310000002020020010102012
4131100113111232200
51003313221113111
622233031012052
72161305442466
oct352027255640
9100066203365
1031413066656
111235a947a14
12610820a028
132c6806a20a
14173dd9c836
15c3cc0048b
hex7505d5ba0

31413066656 has 48 divisors (see below), whose sum is σ = 62531037576. Its totient is φ = 15532425216.

The previous prime is 31413066649. The next prime is 31413066709. The reversal of 31413066656 is 65666031413.

It can be written as a sum of positive squares in 4 ways, for example, as 19744746256 + 11668320400 = 140516^2 + 108020^2 .

It is a super-4 number, since 4×314130666564 (a number of 43 digits) contains 4444 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 7 ways as a sum of consecutive naturals, for example, 4953920 + ... + 4960256.

Almost surely, 231413066656 is an apocalyptic number.

It is an amenable number.

31413066656 is a deficient number, since it is larger than the sum of its proper divisors (31117970920).

31413066656 is a wasteful number, since it uses less digits than its factorization.

31413066656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8033 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 31413066656 in words is "thirty-one billion, four hundred thirteen million, sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 97 194 388 776 1552 1597 3104 3194 6337 6388 12674 12776 25348 25552 50696 51104 101392 154909 202784 309818 614689 619636 1229378 1239272 2458756 2478544 4917512 4957088 9835024 10120189 19670048 20240378 40480756 80961512 161923024 323846048 981658333 1963316666 3926633332 7853266664 15706533328 31413066656