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13074359328 = 253245397081
BaseRepresentation
bin11000010110100101…
…01110010000100000
31020202011201021021200
430023102232100200
5203234013444303
610001204521200
7641665135452
oct141322562040
936664637250
1013074359328
1155aa153748
12264a6b0200
1313049087c4
148c05a42d2
15517c3e3a3
hex30b4ae420

13074359328 has 36 divisors (see below), whose sum is σ = 37180210158. Its totient is φ = 4358119680.

The previous prime is 13074359317. The next prime is 13074359329. The reversal of 13074359328 is 82395347031.

13074359328 is a `hidden beast` number, since 1 + 30 + 7 + 4 + 3 + 593 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8966574864 + 4107784464 = 94692^2 + 64092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×130743593282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13074359329) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 22698253 + ... + 22698828.

Almost surely, 213074359328 is an apocalyptic number.

13074359328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13074359328 is an abundant number, since it is smaller than the sum of its proper divisors (24105850830).

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

13074359328 is a wasteful number, since it uses less digits than its factorization.

13074359328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45397097 (or 45397086 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13074359328 in words is "thirteen billion, seventy-four million, three hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45397081 90794162 136191243 181588324 272382486 363176648 408573729 544764972 726353296 817147458 1089529944 1452706592 1634294916 2179059888 3268589832 4358119776 6537179664 13074359328