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5668006560 = 253553222799
BaseRepresentation
bin1010100011101011…
…01110101010100000
3112122000100120021220
411101311232222200
543102002202220
62334233015040
7260313155316
oct52165565240
915560316256
105668006560
112449495247
121122254480
136c4378848
143baaac0b6
15232909540
hex151d6eaa0

5668006560 has 96 divisors (see below), whose sum is σ = 18191174400. Its totient is φ = 1482943488.

The previous prime is 5668006549. The next prime is 5668006627. The reversal of 5668006560 is 656008665.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85960 + ... + 136839.

It is an arithmetic number, because the mean of its divisors is an integer number (189491400).

Almost surely, 25668006560 is an apocalyptic number.

It is an amenable number.

5668006560 is an abundant number, since it is smaller than the sum of its proper divisors (12523167840).

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

5668006560 is a wasteful number, since it uses less digits than its factorization.

5668006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222870 (or 222862 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5668006560 is about 75286.1644659894. The cubic root of 5668006560 is about 1782.9675868758.

The spelling of 5668006560 in words is "five billion, six hundred sixty-eight million, six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 25440 222799 445598 668397 891196 1113995 1336794 1782392 2227990 2673588 3341985 3564784 4455980 5347176 6683970 7129568 8911960 10694352 11808347 13367940 17823920 21388704 23616694 26735880 35425041 35647840 47233388 53471760 59041735 70850082 94466776 106943520 118083470 141700164 177125205 188933552 236166940 283400328 354250410 377867104 472333880 566800656 708500820 944667760 1133601312 1417001640 1889335520 2834003280 5668006560