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13625397504 = 2834657089
BaseRepresentation
bin11001011000010001…
…10001000100000000
31022011120120220120000
430230020301010000
5210401100210004
610132011320000
7661435652655
oct145410610400
938146526500
1013625397504
1158621aa8a4
122783150000
131391b206b4
14933843c2c
1554b2d9c39
hex32c231100

13625397504 has 90 divisors (see below), whose sum is σ = 40628531790. Its totient is φ = 4541792256.

The previous prime is 13625397491. The next prime is 13625397521. The reversal of 13625397504 is 40579352631.

13625397504 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 53 + 97 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13537787904 + 87609600 = 116352^2 + 9360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13625397504.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 307809 + ... + 349280.

It is an arithmetic number, because the mean of its divisors is an integer number (451428131).

Almost surely, 213625397504 is an apocalyptic number.

It is an amenable number.

13625397504 is an abundant number, since it is smaller than the sum of its proper divisors (27003134286).

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

13625397504 is an frugal number, since it uses more digits than its factorization.

13625397504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657117 (or 657094 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13625397504 in words is "thirteen billion, six hundred twenty-five million, three hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 657089 1314178 1971267 2628356 3942534 5256712 5913801 7885068 10513424 11827602 15770136 17741403 21026848 23655204 31540272 35482806 42053696 47310408 53224209 63080544 70965612 84107392 94620816 106448418 126161088 141931224 168214784 189241632 212896836 252322176 283862448 378483264 425793672 504644352 567724896 756966528 851587344 1135449792 1513933056 1703174688 2270899584 3406349376 4541799168 6812698752 13625397504