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4643113464 = 2332115862517
BaseRepresentation
bin1000101001100000…
…00100100111111000
3102222120211121021100
410110300010213320
534002114112324
62044422011400
7223026545643
oct42460044770
912876747240
104643113464
111a72a09960
12a96b76b60
1358cc34022
14320920a5a
151c295c4c9
hex114c049f8

4643113464 has 48 divisors (see below), whose sum is σ = 13718292120. Its totient is φ = 1407003840.

The previous prime is 4643113459. The next prime is 4643113483.

4643113464 is a `hidden beast` number, since 4 + 643 + 1 + 1 + 3 + 4 + 6 + 4 = 666.

4643113464 is nontrivially palindromic in base 10.

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 a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2930467 + ... + 2932050.

Almost surely, 24643113464 is an apocalyptic number.

4643113464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4643113464 is an abundant number, since it is smaller than the sum of its proper divisors (9075178656).

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

4643113464 is a wasteful number, since it uses less digits than its factorization.

4643113464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862540 (or 5862533 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4643113464 is about 68140.3952439374. The cubic root of 4643113464 is about 1668.2831584568.

It can be divided in two parts, 46431 and 13464, that added together give a palindrome (59895).

The spelling of 4643113464 in words is "four billion, six hundred forty-three million, one hundred thirteen thousand, four 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 5862517 11725034 17587551 23450068 35175102 46900136 52762653 64487687 70350204 105525306 128975374 140700408 193463061 211050612 257950748 386926122 422101224 515901496 580389183 773852244 1160778366 1547704488 2321556732 4643113464