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13328807004 = 22322379203767
BaseRepresentation
bin11000110100111010…
…10111010001011100
31021101220111112212200
430122131113101130
5204244133311004
610042334331500
7651204663432
oct143235272134
937356445780
1013328807004
11571a844a87
1226bb959b90
131345547766
149062bad52
15530251239
hex31a75745c

13328807004 has 72 divisors (see below), whose sum is σ = 35602344960. Its totient is φ = 4195949472.

The previous prime is 13328807003. The next prime is 13328807029. The reversal of 13328807004 is 40070882331.

It is a super-2 number, since 2×133288070042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13328807004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13328807003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36472 + ... + 167295.

Almost surely, 213328807004 is an apocalyptic number.

It is an amenable number.

13328807004 is an abundant number, since it is smaller than the sum of its proper divisors (22273537956).

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

13328807004 is a wasteful number, since it uses less digits than its factorization.

13328807004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203879 (or 203874 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13328807004 in words is "thirteen billion, three hundred twenty-eight million, eight hundred seven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 79 92 138 158 207 237 276 316 414 474 711 828 948 1422 1817 2844 3634 5451 7268 10902 16353 21804 32706 65412 203767 407534 611301 815068 1222602 1833903 2445204 3667806 4686641 7335612 9373282 14059923 16097593 18746564 28119846 32195186 42179769 48292779 56239692 64390372 84359538 96585558 144878337 168719076 193171116 289756674 370244639 579513348 740489278 1110733917 1480978556 2221467834 3332201751 4442935668 6664403502 13328807004