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13900365504 = 26338044193
BaseRepresentation
bin11001111001000011…
…01011111011000000
31022212201222201202000
430330201223323000
5211431443144004
610215153024000
71001315104644
oct147441537300
938781881660
1013900365504
115993437383
12283b255000
131406a9585c
1495c17cc24
15565501c39
hex33c86bec0

13900365504 has 56 divisors (see below), whose sum is σ = 40864505520. Its totient is φ = 4633454592.

The previous prime is 13900365487. The next prime is 13900365511. The reversal of 13900365504 is 40556300931.

13900365504 is a `hidden beast` number, since 1 + 3 + 90 + 0 + 3 + 65 + 504 = 666.

13900365504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×139003655044 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

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, 4020369 + ... + 4023824.

Almost surely, 213900365504 is an apocalyptic number.

It is an amenable number.

13900365504 is an abundant number, since it is smaller than the sum of its proper divisors (26964140016).

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

13900365504 is an equidigital number, since it uses as much as digits as its factorization.

13900365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044214 (or 8044198 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 13900365504 in words is "thirteen billion, nine hundred million, three hundred sixty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 8044193 16088386 24132579 32176772 48265158 64353544 72397737 96530316 128707088 144795474 193060632 217193211 257414176 289590948 386121264 434386422 514828352 579181896 772242528 868772844 1158363792 1544485056 1737545688 2316727584 3475091376 4633455168 6950182752 13900365504