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3638142976 = 21113136649
BaseRepresentation
bin1101100011011001…
…1010100000000000
3100101112210210221011
43120312122200000
524422331033401
61401002010304
7156104463556
oct33066324000
910345723834
103638142976
1115a7700736
128564a6994
1345c976630
1426727bbd6
151645e8451
hexd8d9a800

3638142976 has 48 divisors (see below), whose sum is σ = 7834144500. Its totient is φ = 1679130624.

The previous prime is 3638142943. The next prime is 3638143001. The reversal of 3638142976 is 6792418363.

It can be written as a sum of positive squares in 2 ways, for example, as 3600000000 + 38142976 = 60000^2 + 6176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41701 + ... + 94948.

Almost surely, 23638142976 is an apocalyptic number.

It is an amenable number.

3638142976 is an abundant number, since it is smaller than the sum of its proper divisors (4196001524).

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

3638142976 is a wasteful number, since it uses less digits than its factorization.

3638142976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136684 (or 136664 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The square root of 3638142976 is about 60317.0206160749. The cubic root of 3638142976 is about 1538.0126971591.

It can be divided in two parts, 36 and 38142976, that multiplied together give a square (1373147136 = 370562).

The spelling of 3638142976 in words is "three billion, six hundred thirty-eight million, one hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 13312 26624 136649 273298 546596 1093192 1776437 2186384 3552874 4372768 7105748 8745536 14211496 17491072 28422992 34982144 56845984 69964288 113691968 139928576 227383936 279857152 454767872 909535744 1819071488 3638142976