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8056564956 = 22321123387317
BaseRepresentation
bin1111000000011010…
…10110110011011100
3202210110211220102200
413200031112303130
5112444440034311
63411240051500
7403435446366
oct74015266334
922713756380
108056564956
1134647a2550
12168a163b90
139b51896cb
14565dcdd36
15322470556
hex1e0356cdc

8056564956 has 72 divisors (see below), whose sum is σ = 22312193904. Its totient is φ = 2430877440.

The previous prime is 8056564933. The next prime is 8056564969. The reversal of 8056564956 is 6594656508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48610 + ... + 135926.

It is an arithmetic number, because the mean of its divisors is an integer number (309891582).

Almost surely, 28056564956 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 8056564956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156096952).

8056564956 is an abundant number, since it is smaller than the sum of its proper divisors (14255628948).

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

8056564956 is a wasteful number, since it uses less digits than its factorization.

8056564956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87571 (or 87566 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The square root of 8056564956 is about 89758.3698381382. The cubic root of 8056564956 is about 2004.7026800667.

The spelling of 8056564956 in words is "eight billion, fifty-six million, five hundred sixty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 233 396 466 699 932 1398 2097 2563 2796 4194 5126 7689 8388 10252 15378 23067 30756 46134 87317 92268 174634 261951 349268 523902 785853 960487 1047804 1571706 1920974 2881461 3143412 3841948 5762922 8644383 11525844 17288766 20344861 34577532 40689722 61034583 81379444 122069166 183103749 223793471 244138332 366207498 447586942 671380413 732414996 895173884 1342760826 2014141239 2685521652 4028282478 8056564956