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13309090944 = 273231506917
BaseRepresentation
bin11000110010100100…
…01001110010000000
31021100112101212112020
430121102021302000
5204224111402234
610040352001440
7650545256262
oct143122116200
937315355466
1013309090944
11570a6a9016
1226b5230280
131341433656
14903827b32
1552d659549
hex319489c80

13309090944 has 64 divisors (see below), whose sum is σ = 36889352640. Its totient is φ = 4243475456.

The previous prime is 13309090939. The next prime is 13309090961. The reversal of 13309090944 is 44909090331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×133090909442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13309090896 and 13309090905.

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, 744627 + ... + 762290.

It is an arithmetic number, because the mean of its divisors is an integer number (576396135).

Almost surely, 213309090944 is an apocalyptic number.

It is an amenable number.

13309090944 is an abundant number, since it is smaller than the sum of its proper divisors (23580261696).

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

13309090944 is a wasteful number, since it uses less digits than its factorization.

13309090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506957 (or 1506945 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 13309090944 in words is "thirteen billion, three hundred nine million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 1506917 3013834 4520751 6027668 9041502 12055336 18083004 24110672 34659091 36166008 48221344 69318182 72332016 96442688 103977273 138636364 144664032 192885376 207954546 277272728 289328064 415909092 554545456 578656128 831818184 1109090912 1663636368 2218181824 3327272736 4436363648 6654545472 13309090944