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5640887466 = 234193749531
BaseRepresentation
bin1010100000011100…
…10001110010101010
3112120010022202220000
411100032101302222
543023031344331
62331423443430
7256533516024
oct52016216252
915503282800
105640887466
112435152275
121115156576
136bb871c46
143b724d014
1523034e0e6
hex150391caa

5640887466 has 80 divisors (see below), whose sum is σ = 13664888160. Its totient is φ = 1733153760.

The previous prime is 5640887459. The next prime is 5640887477. The reversal of 5640887466 is 6647880465.

5640887466 is a `hidden beast` number, since 564 + 0 + 8 + 8 + 74 + 6 + 6 = 666.

It is a super-2 number, since 2×56408874662 = 63639222808151802312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89121 + ... + 138651.

It is an arithmetic number, because the mean of its divisors is an integer number (170811102).

Almost surely, 25640887466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640887466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832444080).

5640887466 is an abundant number, since it is smaller than the sum of its proper divisors (8024000694).

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

5640887466 is a wasteful number, since it uses less digits than its factorization.

5640887466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49601 (or 49592 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 5640887466 is about 75105.8417568168. The cubic root of 5640887466 is about 1780.1194493337.

The spelling of 5640887466 in words is "five billion, six hundred forty million, eight hundred eighty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 333 342 513 666 703 999 1026 1406 1539 1998 2109 2997 3078 4218 5994 6327 12654 18981 37962 49531 56943 99062 113886 148593 297186 445779 891558 941089 1337337 1832647 1882178 2674674 2823267 3665294 4012011 5497941 5646534 8024022 8469801 10995882 16493823 16939602 25409403 32987646 34820293 49481469 50818806 69640586 76228209 98962938 104460879 148444407 152456418 208921758 296888814 313382637 626765274 940147911 1880295822 2820443733 5640887466