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10540510056 = 2332295048137
BaseRepresentation
bin10011101000100001…
…10110101101101000
31000012120211101112100
421310100312231220
5133041332310211
64501531413400
7522126600006
oct116420665550
930176741470
1010540510056
11451993023a
122061bb4260
13cbc9872cb
1471dc61a76
1541a579156
hex274436b68

10540510056 has 48 divisors (see below), whose sum is σ = 29531607300. Its totient is φ = 3392347392.

The previous prime is 10540510039. The next prime is 10540510069. The reversal of 10540510056 is 65001504501.

It is a happy number.

10540510056 is a `hidden beast` number, since 10 + 540 + 5 + 100 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10540307556 + 202500 = 102666^2 + 450^2 .

It is a super-2 number, since 2×105405100562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2521981 + ... + 2526156.

Almost surely, 210540510056 is an apocalyptic number.

It is an amenable number.

10540510056 is an abundant number, since it is smaller than the sum of its proper divisors (18991097244).

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

10540510056 is a wasteful number, since it uses less digits than its factorization.

10540510056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048178 (or 5048171 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10540510056 in words is "ten billion, five hundred forty million, five hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 5048137 10096274 15144411 20192548 30288822 40385096 45433233 60577644 90866466 121155288 146395973 181732932 292791946 363465864 439187919 585583892 878375838 1171167784 1317563757 1756751676 2635127514 3513503352 5270255028 10540510056