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55873765824 = 2631278212791
BaseRepresentation
bin110100000010010101…
…100000000111000000
312100012221100101120020
4310002111200013000
51403412141001244
641400144413440
74015414113312
oct640225400700
9170187311506
1055873765824
1121772314278
12a9b4017280
13536593b0c6
1429c087d7b2
1516c0394d19
hexd025601c0

55873765824 has 112 divisors (see below), whose sum is σ = 149231640576. Its totient is φ = 18448819200.

The previous prime is 55873765807. The next prime is 55873765847. The reversal of 55873765824 is 42856737855.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20017869 + ... + 20020659.

Almost surely, 255873765824 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 55873765824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74615820288).

55873765824 is an abundant number, since it is smaller than the sum of its proper divisors (93357874752).

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

55873765824 is a wasteful number, since it uses less digits than its factorization.

55873765824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3744 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 60.

The spelling of 55873765824 in words is "fifty-five billion, eight hundred seventy-three million, seven hundred sixty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 821 1016 1524 1642 2032 2463 2791 3048 3284 4064 4926 5582 6096 6568 8128 8373 9852 11164 12192 13136 16746 19704 22328 24384 26272 33492 39408 44656 52544 66984 78816 89312 104267 133968 157632 178624 208534 267936 312801 354457 417068 535872 625602 708914 834136 1063371 1251204 1417828 1668272 2126742 2291411 2502408 2835656 3336544 4253484 4582822 5004816 5671312 6673088 6874233 8506968 9165644 10009632 11342624 13748466 17013936 18331288 20019264 22685248 27496932 34027872 36662576 54993864 68055744 73325152 109987728 146650304 219975456 291009197 439950912 582018394 873027591 1164036788 1746055182 2328073576 3492110364 4656147152 6984220728 9312294304 13968441456 18624588608 27936882912 55873765824