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6557870664 = 2332569160073
BaseRepresentation
bin1100001101110000…
…10010101001001000
3121221000210100100200
412012320102221020
5101412303330124
63002421532200
7321336660312
oct60670225110
917830710320
106557870664
112865824324
121330274060
13806833857
14462d4a7b2
15285ad2bc9
hex186e12a48

6557870664 has 48 divisors (see below), whose sum is σ = 17792225100. Its totient is φ = 2182101504.

The previous prime is 6557870663. The next prime is 6557870701. The reversal of 6557870664 is 4660787556.

6557870664 is a `hidden beast` number, since 6 + 5 + 578 + 7 + 0 + 6 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6313573764 + 244296900 = 79458^2 + 15630^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6557870664.

It is not an unprimeable number, because it can be changed into a prime (6557870663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39069 + ... + 121004.

Almost surely, 26557870664 is an apocalyptic number.

It is an amenable number.

6557870664 is an abundant number, since it is smaller than the sum of its proper divisors (11234354436).

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

6557870664 is a wasteful number, since it uses less digits than its factorization.

6557870664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160654 (or 160647 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 6557870664 is about 80980.6808072148. The cubic root of 6557870664 is about 1871.7777582431. Note that the first 4 decimals are identical.

The spelling of 6557870664 in words is "six billion, five hundred fifty-seven million, eight hundred seventy thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 569 1138 1707 2276 3414 4552 5121 6828 10242 13656 20484 40968 160073 320146 480219 640292 960438 1280584 1440657 1920876 2881314 3841752 5762628 11525256 91081537 182163074 273244611 364326148 546489222 728652296 819733833 1092978444 1639467666 2185956888 3278935332 6557870664