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5864050764 = 223211134872339
BaseRepresentation
bin1010111011000011…
…00101000001001100
3120010200020122101100
411131201211001030
544002144111024
62405514543100
7265213415625
oct53541450114
916120218340
105864050764
11253a116150
121177a37a90
13725b79430
143d8b40a4c
15244c317c9
hex15d86504c

5864050764 has 144 divisors (see below), whose sum is σ = 17457672960. Its totient is φ = 1636225920.

The previous prime is 5864050757. The next prime is 5864050817. The reversal of 5864050764 is 4670504685.

5864050764 is a `hidden beast` number, since 5 + 86 + 4 + 0 + 507 + 64 = 666.

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, 2505907 + ... + 2508245.

It is an arithmetic number, because the mean of its divisors is an integer number (121233840).

Almost surely, 25864050764 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 5864050764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728836480).

5864050764 is an abundant number, since it is smaller than the sum of its proper divisors (11593622196).

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

5864050764 is a wasteful number, since it uses less digits than its factorization.

5864050764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5864050764 is about 76577.0903338590. The cubic root of 5864050764 is about 1803.2913815949.

The spelling of 5864050764 in words is "five billion, eight hundred sixty-four million, fifty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 487 572 858 974 1287 1461 1716 1948 2339 2574 2922 4383 4678 5148 5357 5844 6331 7017 8766 9356 10714 12662 14034 16071 17532 18993 21051 21428 25324 25729 28068 30407 32142 37986 42102 48213 51458 56979 60814 64284 69641 75972 77187 84204 91221 96426 102916 113958 121628 139282 154374 182442 192852 208923 227916 231561 273663 278564 308748 334477 364884 417846 463122 547326 626769 668954 835692 926244 1003431 1094652 1139093 1253538 1337908 2006862 2278186 2507076 3010293 3417279 4013724 4556372 6020586 6834558 10251837 12041172 12530023 13669116 14808209 20503674 25060046 29616418 37590069 41007348 44424627 50120092 59232836 75180138 88849254 112770207 133273881 150360276 162890299 177698508 225540414 266547762 325780598 451080828 488670897 533095524 651561196 977341794 1466012691 1954683588 2932025382 5864050764