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53766746656304 = 24111722380583719
BaseRepresentation
bin11000011100110100010111…
…10101011100111000110000
321001101001101000112101122112
430032122023311130320300
524021403244121000204
6310204034042424452
714216343050626313
oct1416321365347060
9231331330471575
1053766746656304
111614a392878230
126044432802128
13240024ab0c5c6
14d3c47830897a
156338e313326e
hex30e68bd5ce30

53766746656304 has 80 divisors (see below), whose sum is σ = 120867843962880. Its totient is φ = 22898669306880.

The previous prime is 53766746656141. The next prime is 53766746656307. The reversal of 53766746656304 is 40365664766735.

53766746656304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (53766746656307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39624644 + ... + 40959075.

It is an arithmetic number, because the mean of its divisors is an integer number (1510848049536).

Almost surely, 253766746656304 is an apocalyptic number.

It is an amenable number.

53766746656304 is an abundant number, since it is smaller than the sum of its proper divisors (67101097306576).

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

53766746656304 is a wasteful number, since it uses less digits than its factorization.

53766746656304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80583978 (or 80583972 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 68.

The spelling of 53766746656304 in words is "fifty-three trillion, seven hundred sixty-six billion, seven hundred forty-six million, six hundred fifty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 223 272 374 446 748 892 1496 1784 2453 2992 3568 3791 4906 7582 9812 15164 19624 30328 39248 41701 60656 83402 166804 333608 667216 80583719 161167438 322334876 644669752 886420909 1289339504 1369923223 1772841818 2739846446 3545683636 5479692892 7091367272 10959385784 14182734544 15069155453 17970169337 21918771568 30138310906 35940338674 60276621812 71880677348 120553243624 143761354696 197671862707 241106487248 287522709392 305492878729 395343725414 610985757458 790687450828 1221971514916 1581374901656 2443943029832 3162749803312 3360421666019 4887886059664 6720843332038 13441686664076 26883373328152 53766746656304