Search a number
-
+
6511316064 = 2531117362707
BaseRepresentation
bin1100001000001101…
…01100110001100000
3121210210012010110020
412010012230301200
5101313344103224
62554040033440
7320233162521
oct60406546140
917723163406
106511316064
112841517150
121318762880
137c9cb3756
1445aaac848
15281988c79
hex1841acc60

6511316064 has 96 divisors (see below), whose sum is σ = 19742921856. Its totient is φ = 1857054720.

The previous prime is 6511316057. The next prime is 6511316099. The reversal of 6511316064 is 4606131156.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 163402 + ... + 199305.

It is an arithmetic number, because the mean of its divisors is an integer number (205655436).

Almost surely, 26511316064 is an apocalyptic number.

It is an amenable number.

6511316064 is an abundant number, since it is smaller than the sum of its proper divisors (13231605792).

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

6511316064 is a wasteful number, since it uses less digits than its factorization.

6511316064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362748 (or 362740 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 6511316064 is about 80692.7262149446. The cubic root of 6511316064 is about 1867.3379591271.

The spelling of 6511316064 in words is "six billion, five hundred eleven million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 362707 725414 1088121 1450828 2176242 2901656 3989777 4352484 5803312 6166019 7979554 8704968 11606624 11969331 12332038 15959108 17409936 18498057 23938662 24664076 31918216 34819872 36996114 47877324 49328152 63836432 67826209 73992228 95754648 98656304 127672864 135652418 147984456 191509296 197312608 203478627 271304836 295968912 383018592 406957254 542609672 591937824 813914508 1085219344 1627829016 2170438688 3255658032 6511316064