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1317661056 = 27321143803
BaseRepresentation
bin100111010001001…
…1110100110000000
310101211102010011100
41032202132212000
510144310123211
6334430014400
744436635265
oct11642364600
93354363140
101317661056
11616870288
12309347400
1317ccac8ca
14c6ddb26c
157aa2d156
hex4e89e980

1317661056 has 48 divisors (see below), whose sum is σ = 3791710260. Its totient is φ = 439219968.

The previous prime is 1317661043. The next prime is 1317661063. The reversal of 1317661056 is 6501667131.

1317661056 is a `hidden beast` number, since 1 + 31 + 7 + 6 + 610 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1317661056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 570750 + ... + 573053.

Almost surely, 21317661056 is an apocalyptic number.

1317661056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1317661056 is an abundant number, since it is smaller than the sum of its proper divisors (2474049204).

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

1317661056 is a wasteful number, since it uses less digits than its factorization.

1317661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143823 (or 1143808 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1317661056 is about 36299.6013201247. The cubic root of 1317661056 is about 1096.3130155374.

The spelling of 1317661056 in words is "one billion, three hundred seventeen million, six hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1143803 2287606 3431409 4575212 6862818 9150424 10294227 13725636 18300848 20588454 27451272 36601696 41176908 54902544 73203392 82353816 109805088 146406784 164707632 219610176 329415264 439220352 658830528 1317661056