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54953365544 = 23721171179497
BaseRepresentation
bin110011001011011110…
…011101000000101000
312020211210110012201222
4303023132131000220
51400021030144134
641124545201212
73653536620500
oct631336350050
9166753405658
1054953365544
112133a818990
12a797930208
13524a05105c
142934532a00
151669688a2e
hexccb79d028

54953365544 has 96 divisors (see below), whose sum is σ = 132598762560. Its totient is φ = 21108729600.

The previous prime is 54953365507. The next prime is 54953365567. The reversal of 54953365544 is 44556335945.

It is a super-2 number, since 2×549533655442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216404 + ... + 395900.

It is an arithmetic number, because the mean of its divisors is an integer number (1381237110).

Almost surely, 254953365544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54953365544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66299381280).

54953365544 is an abundant number, since it is smaller than the sum of its proper divisors (77645397016).

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

54953365544 is a wasteful number, since it uses less digits than its factorization.

54953365544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179599 (or 179588 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 53.

The spelling of 54953365544 in words is "fifty-four billion, nine hundred fifty-three million, three hundred sixty-five thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 71 77 88 98 142 154 196 284 308 392 497 539 568 616 781 994 1078 1562 1988 2156 3124 3479 3976 4312 5467 6248 6958 10934 13916 21868 27832 38269 43736 76538 153076 179497 306152 358994 717988 1256479 1435976 1974467 2512958 3948934 5025916 7897868 8795353 10051832 12744287 13821269 15795736 17590706 25488574 27642538 35181412 50977148 55285076 70362824 89210009 96748883 101954296 110570152 140187157 178420018 193497766 280374314 356840036 386995532 560748628 624470063 713680072 773991064 981310099 1121497256 1248940126 1962620198 2497880252 3925240396 4995760504 6869170693 7850480792 13738341386 27476682772 54953365544