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6313505952 = 2531337136727
BaseRepresentation
bin1011110000101000…
…00111010010100000
3121021222222022222210
411320110013102200
5100412224142302
62522252202120
7312311625615
oct57024072240
917258868883
106313505952
11274a89a516
121282469340
13798015150
1443c6da50c
1526e41366c
hex1785074a0

6313505952 has 96 divisors (see below), whose sum is σ = 18330302592. Its totient is φ = 1890100224.

The previous prime is 6313505923. The next prime is 6313505993. The reversal of 6313505952 is 2595053136.

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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6313505952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22188 + ... + 114539.

It is an arithmetic number, because the mean of its divisors is an integer number (190940652).

Almost surely, 26313505952 is an apocalyptic number.

It is an amenable number.

6313505952 is an abundant number, since it is smaller than the sum of its proper divisors (12016796640).

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

6313505952 is a wasteful number, since it uses less digits than its factorization.

6313505952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136790 (or 136782 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 6313505952 is about 79457.5732828533. The cubic root of 6313505952 is about 1848.2336148883.

The spelling of 6313505952 in words is "six billion, three hundred thirteen million, five hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 592 624 888 962 1184 1248 1443 1776 1924 2886 3552 3848 5772 7696 11544 15392 23088 46176 136727 273454 410181 546908 820362 1093816 1640724 1777451 2187632 3281448 3554902 4375264 5058899 5332353 6562896 7109804 10117798 10664706 13125792 14219608 15176697 20235596 21329412 28439216 30353394 40471192 42658824 56878432 60706788 65765687 80942384 85317648 121413576 131531374 161884768 170635296 197297061 242827152 263062748 394594122 485654304 526125496 789188244 1052250992 1578376488 2104501984 3156752976 6313505952