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13478825904 = 2431723726261
BaseRepresentation
bin11001000110110011…
…01000111110110000
31021210100210022010020
430203121220332300
5210101034412104
610105254003440
7655006062345
oct144331507660
937710708106
1013478825904
11579749a445
122742046580
13136a65213b
1491c1ac7cc
1553d4d62d9
hex323668fb0

13478825904 has 120 divisors (see below), whose sum is σ = 37990189008. Its totient is φ = 4114206720.

The previous prime is 13478825903. The next prime is 13478825909. The reversal of 13478825904 is 40952887431.

It is a happy number.

13478825904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (13478825903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 500134 + ... + 526394.

Almost surely, 213478825904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13478825904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995094504).

13478825904 is an abundant number, since it is smaller than the sum of its proper divisors (24511363104).

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

13478825904 is a wasteful number, since it uses less digits than its factorization.

13478825904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26343 (or 26320 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 13478825904 in words is "thirteen billion, four hundred seventy-eight million, eight hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 289 296 408 444 578 592 629 816 867 888 1156 1258 1734 1776 1887 2312 2516 3468 3774 4624 5032 6936 7548 10064 10693 13872 15096 21386 26261 30192 32079 42772 52522 64158 78783 85544 105044 128316 157566 171088 210088 256632 315132 420176 446437 513264 630264 892874 971657 1260528 1339311 1785748 1943314 2678622 2914971 3571496 3886628 5357244 5829942 7142992 7589429 7773256 10714488 11659884 15178858 15546512 16518169 21428976 22768287 23319768 30357716 33036338 45536574 46639536 49554507 60715432 66072676 91073148 99109014 121430864 132145352 182146296 198218028 264290704 280808873 364292592 396436056 561617746 792872112 842426619 1123235492 1684853238 2246470984 3369706476 4492941968 6739412952 13478825904