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10446968142 = 2331337014021
BaseRepresentation
bin10011011101011000…
…00001010101001110
3222222001210222011000
421232230001111032
5132343410440032
64444350441130
7516612523032
oct115654012516
928861728130
1010446968142
11448104a876
1220368031a6
13ca6495170
147116721c2
1541224ce7c
hex26eb0154e

10446968142 has 64 divisors (see below), whose sum is σ = 25014265920. Its totient is φ = 3212784000.

The previous prime is 10446968131. The next prime is 10446968159. The reversal of 10446968142 is 24186964401.

10446968142 is a `hidden beast` number, since 1 + 0 + 446 + 9 + 68 + 142 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596092 + ... + 2600112.

It is an arithmetic number, because the mean of its divisors is an integer number (390847905).

Almost surely, 210446968142 is an apocalyptic number.

10446968142 is an abundant number, since it is smaller than the sum of its proper divisors (14567297778).

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

10446968142 is a wasteful number, since it uses less digits than its factorization.

10446968142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10446968142 in words is "ten billion, four hundred forty-six million, nine hundred sixty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 3701 4021 7402 8042 11103 12063 22206 24126 33309 36189 48113 52273 66618 72378 96226 99927 104546 108567 144339 156819 199854 217134 288678 313638 433017 470457 866034 940914 1299051 1411371 2598102 2822742 14881721 29763442 44645163 89290326 133935489 193462373 267870978 386924746 401806467 580387119 803612934 1160774238 1741161357 3482322714 5223484071 10446968142