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5664180244086 = 23271322691524013
BaseRepresentation
bin101001001101100101101…
…1100111000111001110110
3202001111020110102101111200
41102123023130320321312
51220300220120302321
620014031040113330
71123136444454330
oct122331334707166
922044213371450
105664180244086
1118941900a03a1
1277590a605846
1332118c52b360
1415820d752450
159c511cbcd26
hex526cb738e76

5664180244086 has 96 divisors (see below), whose sum is σ = 15111147455040. Its totient is φ = 1493190381312.

The previous prime is 5664180244067. The next prime is 5664180244103. The reversal of 5664180244086 is 6804420814665.

5664180244086 is a `hidden beast` number, since 5 + 6 + 6 + 41 + 80 + 2 + 440 + 86 = 666.

It is a super-3 number, since 3×56641802440863 (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2954616 + ... + 4478628.

It is an arithmetic number, because the mean of its divisors is an integer number (157407785990).

Almost surely, 25664180244086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664180244086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555573727520).

5664180244086 is an abundant number, since it is smaller than the sum of its proper divisors (9446967210954).

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

5664180244086 is a wasteful number, since it uses less digits than its factorization.

5664180244086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526310 (or 1526307 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 5664180244086 in words is "five trillion, six hundred sixty-four billion, one hundred eighty million, two hundred forty-four thousand, eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 2269 4538 6807 13614 15883 20421 29497 31766 40842 47649 58994 88491 95298 142947 176982 206479 265473 285894 412958 530946 619437 1238874 1524013 1858311 3048026 3716622 4572039 9144078 10668091 13716117 19812169 21336182 27432234 32004273 39624338 59436507 64008546 96012819 118873014 138685183 178309521 192025638 277370366 356619042 416055549 832111098 1248166647 2496333294 3457985497 6915970994 10373956491 20747912982 24205898479 31121869473 44953811461 48411796958 62243738946 72617695437 89907622922 134861434383 145235390874 217853086311 269722868766 314676680227 404584303149 435706172622 629353360454 809168606298 944030040681 1888060081362 2832090122043 5664180244086