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13657162016256 = 29311808307411
BaseRepresentation
bin1100011010111100111001…
…0010100110011000000000
31210100121112002202212200220
43012233032102212120000
53242224331434010011
645014002535143040
72606461130516133
oct306571622463000
953317462685626
1013657162016256
114395a73a0a140
121646a23b14a80
13780b32106985
1435301dc8c21a
1518a3c2a18506
hexc6bce4a6600

13657162016256 has 80 divisors (see below), whose sum is σ = 39691127158848. Its totient is φ = 4138533939200.

The previous prime is 13657162016167. The next prime is 13657162016261. The reversal of 13657162016256 is 65261026175631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13657162016199 and 13657162016208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404136810 + ... + 404170601.

Almost surely, 213657162016256 is an apocalyptic number.

13657162016256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13657162016256 is an abundant number, since it is smaller than the sum of its proper divisors (26033965142592).

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

13657162016256 is an equidigital number, since it uses as much as digits as its factorization.

13657162016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808307443 (or 808307427 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 13657162016256 in words is "thirteen trillion, six hundred fifty-seven billion, one hundred sixty-two million, sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 808307411 1616614822 2424922233 3233229644 4849844466 6466459288 8891381521 9699688932 12932918576 17782763042 19399377864 25865837152 26674144563 35565526084 38798755728 51731674304 53348289126 71131052168 77597511456 103463348608 106696578252 142262104336 155195022912 206926697216 213393156504 284524208672 310390045824 413853394432 426786313008 569048417344 620780091648 853572626016 1138096834688 1241560183296 1707145252032 2276193669376 3414290504064 4552387338752 6828581008128 13657162016256