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6131162664 = 2332117741367
BaseRepresentation
bin1011011010111001…
…00001111000101000
3120211021212100000200
411231130201320220
5100024034201124
62452220032200
7304636010544
oct55534417050
916737770020
106131162664
112666977290
121231392660
13769300803
144223d2a24
1525d3e5bc9
hex16d721e28

6131162664 has 48 divisors (see below), whose sum is σ = 18114801120. Its totient is φ = 1857927840.

The previous prime is 6131162633. The next prime is 6131162677. The reversal of 6131162664 is 4662611316.

It is a happy number.

6131162664 is a `hidden beast` number, since 6 + 13 + 11 + 626 + 6 + 4 = 666.

It is a super-2 number, since 2×61311626642 = 75182311224855153792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3869892 + ... + 3871475.

It is an arithmetic number, because the mean of its divisors is an integer number (377391690).

Almost surely, 26131162664 is an apocalyptic number.

It is an amenable number.

6131162664 is an abundant number, since it is smaller than the sum of its proper divisors (11983638456).

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

6131162664 is a wasteful number, since it uses less digits than its factorization.

6131162664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741390 (or 7741383 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6131162664 is about 78301.7411300668. The cubic root of 6131162664 is about 1830.2662839242.

The spelling of 6131162664 in words is "six billion, one hundred thirty-one million, one hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 7741367 15482734 23224101 30965468 46448202 61930936 69672303 85155037 92896404 139344606 170310074 185792808 255465111 278689212 340620148 510930222 557378424 681240296 766395333 1021860444 1532790666 2043720888 3065581332 6131162664