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1057313953199 = 71091447957659
BaseRepresentation
bin11110110001011001101…
…00101001010110101111
310202002010000201220201102
433120230310221112233
5114310334333000244
62125420123233315
7136250140213340
oct17305464512657
93662100656642
101057313953199
1137844a187269
12150ab837883b
13789203b630a
143926229a0c7
151c78328d54e
hexf62cd295af

1057313953199 has 16 divisors (see below), whose sum is σ = 1220288678400. Its totient is φ = 897333207264.

The previous prime is 1057313953187. The next prime is 1057313953207. The reversal of 1057313953199 is 9913593137501.

It is a cyclic number.

It is not a de Polignac number, because 1057313953199 - 24 = 1057313953183 is a prime.

It is a super-2 number, since 2×10573139531992 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057313953139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625232 + ... + 1582890.

It is an arithmetic number, because the mean of its divisors is an integer number (76268042400).

Almost surely, 21057313953199 is an apocalyptic number.

1057313953199 is a deficient number, since it is larger than the sum of its proper divisors (162974725201).

1057313953199 is a wasteful number, since it uses less digits than its factorization.

1057313953199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959222.

The product of its (nonzero) digits is 3444525, while the sum is 56.

The spelling of 1057313953199 in words is "one trillion, fifty-seven billion, three hundred thirteen million, nine hundred fifty-three thousand, one hundred ninety-nine".

Divisors: 1 7 109 763 1447 10129 157723 957659 1104061 6703613 104384831 730693817 1385732573 9700128011 151044850457 1057313953199