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10456571142 = 2326724135977
BaseRepresentation
bin10011011110100001…
…01001110100000110
3222222201212211222200
421233100221310012
5132403340234032
64445332335330
7520060250103
oct115720516406
928881784880
1010456571142
114486509736
122039a74546
13ca8478104
14712a51aaa
15412ee847c
hex26f429d06

10456571142 has 48 divisors (see below), whose sum is σ = 23090104752. Its totient is φ = 3419159040.

The previous prime is 10456571141. The next prime is 10456571143. The reversal of 10456571142 is 24117565401.

10456571142 is a `hidden beast` number, since 1 + 0 + 45 + 6 + 571 + 1 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (10456571141) and next prime (10456571143).

It is a junction number, because it is equal to n+sod(n) for n = 10456571097 and 10456571106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10456571141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272658 + ... + 308634.

It is an arithmetic number, because the mean of its divisors is an integer number (481043849).

Almost surely, 210456571142 is an apocalyptic number.

10456571142 is an abundant number, since it is smaller than the sum of its proper divisors (12633533610).

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

10456571142 is a wasteful number, since it uses less digits than its factorization.

10456571142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36293 (or 36290 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10456571142 in words is "ten billion, four hundred fifty-six million, five hundred seventy-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 67 134 201 241 402 482 603 723 1206 1446 2169 4338 16147 32294 35977 48441 71954 96882 107931 145323 215862 290646 323793 647586 2410459 4820918 7231377 8670457 14462754 17340914 21694131 26011371 43388262 52022742 78034113 156068226 580920619 1161841238 1742761857 3485523714 5228285571 10456571142