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5686330752 = 273218127271
BaseRepresentation
bin1010100101110111…
…01000010110000000
3112200021211112100200
411102323220112000
543121200041002
62340125445200
7260625004524
oct52273502600
915607745320
105686330752
112458870503
121128410800
136c80c326b
143bd2bbd84
15234328b1c
hex152ee8580

5686330752 has 96 divisors (see below), whose sum is σ = 16454015760. Its totient is φ = 1884902400.

The previous prime is 5686330729. The next prime is 5686330789. The reversal of 5686330752 is 2570336865.

5686330752 is a `hidden beast` number, since 5 + 6 + 8 + 633 + 0 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×56863307522 = 64668714842281771008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5686330698 and 5686330707.

It is a congruent number.

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, 194877 + ... + 222147.

Almost surely, 25686330752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5686330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227007880).

5686330752 is an abundant number, since it is smaller than the sum of its proper divisors (10767685008).

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

5686330752 is a wasteful number, since it uses less digits than its factorization.

5686330752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27472 (or 27457 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5686330752 is about 75407.7632077759. The cubic root of 5686330752 is about 1784.8869151342.

The spelling of 5686330752 in words is "five billion, six hundred eighty-six million, three hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 576 724 1086 1152 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 23168 26064 27271 34752 52128 54542 69504 81813 104256 109084 163626 208512 218168 245439 327252 436336 490878 654504 872672 981756 1309008 1745344 1963512 2618016 3490688 3927024 4936051 5236032 7854048 9872102 10472064 14808153 15708096 19744204 29616306 31416192 39488408 44424459 59232612 78976816 88848918 118465224 157953632 177697836 236930448 315907264 355395672 473860896 631814528 710791344 947721792 1421582688 1895443584 2843165376 5686330752