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13337290032 = 2431125260019
BaseRepresentation
bin11000110101111011…
…01110010100110000
31021102111110112101220
430122331232110300
5204303321240112
610043240225040
7651340044333
oct143275562460
937374415356
1013337290032
115724609450
12270276b180
1313472279c1
1490748861a
15530d7998c
hex31af6e530

13337290032 has 40 divisors (see below), whose sum is σ = 37586909760. Its totient is φ = 4041602880.

The previous prime is 13337290009. The next prime is 13337290049. The reversal of 13337290032 is 23009273331.

It is a super-2 number, since 2×133372900322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13337289975 and 13337290002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12629482 + ... + 12630537.

It is an arithmetic number, because the mean of its divisors is an integer number (939672744).

Almost surely, 213337290032 is an apocalyptic number.

13337290032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13337290032 is an abundant number, since it is smaller than the sum of its proper divisors (24249619728).

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

13337290032 is a wasteful number, since it uses less digits than its factorization.

13337290032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25260041 (or 25260035 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The spelling of 13337290032 in words is "thirteen billion, three hundred thirty-seven million, two hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 25260019 50520038 75780057 101040076 151560114 202080152 277860209 303120228 404160304 555720418 606240456 833580627 1111440836 1212480912 1667161254 2222881672 3334322508 4445763344 6668645016 13337290032