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5716866456 = 2332728092003
BaseRepresentation
bin1010101001100000…
…00111010110011000
3112202102021220110200
411110300013112120
543202004211311
62343140142200
7261445364100
oct52460072630
915672256420
105716866456
112474027424
121136697960
13701525022
143c338a200
15236d5b556
hex154c07598

5716866456 has 144 divisors (see below), whose sum is σ = 18042312600. Its totient is φ = 1630556928.

The previous prime is 5716866431. The next prime is 5716866481. The reversal of 5716866456 is 6546686175.

5716866456 is a `hidden beast` number, since 5 + 71 + 68 + 66 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (5716866431) and next prime (5716866481).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2853151 + ... + 2855153.

Almost surely, 25716866456 is an apocalyptic number.

5716866456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5716866456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9021156300).

5716866456 is an abundant number, since it is smaller than the sum of its proper divisors (12325446144).

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

5716866456 is a wasteful number, since it uses less digits than its factorization.

5716866456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2824 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5716866456 is about 75609.9626768854. The cubic root of 5716866456 is about 1788.0761720023.

The spelling of 5716866456 in words is "five billion, seven hundred sixteen million, eight hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 809 882 1176 1618 1764 2003 2427 3236 3528 4006 4854 5663 6009 6472 7281 8012 9708 11326 12018 14021 14562 16024 16989 18027 19416 22652 24036 28042 29124 33978 36054 39641 42063 45304 48072 50967 56084 58248 67956 72108 79282 84126 98147 101934 112168 118923 126189 135912 144216 158564 168252 196294 203868 237846 252378 294441 317128 336504 356769 392588 407736 475692 504756 588882 713538 785176 883323 951384 1009512 1177764 1427076 1620427 1766646 2355528 2854152 3240854 3533292 4861281 6481708 7066584 9722562 11342989 12963416 14583843 19445124 22685978 29167686 34028967 38890248 45371956 58335372 68057934 79400923 90743912 102086901 116670744 136115868 158801846 204173802 238202769 272231736 317603692 408347604 476405538 635207384 714608307 816695208 952811076 1429216614 1905622152 2858433228 5716866456