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55505105994 = 23132324728621
BaseRepresentation
bin110011101100010111…
…001011010001001010
312022021020122112100110
4303230113023101022
51402133301342434
641255415015150
74003316421312
oct635427132112
9168236575313
1055505105994
11215a3204728
12a91066a4b6
1353074507b0
142987916442
15169cd224e9
hexcec5cb44a

55505105994 has 96 divisors (see below), whose sum is σ = 127636717824. Its totient is φ = 15987818880.

The previous prime is 55505105977. The next prime is 55505106023. The reversal of 55505105994 is 49950150555.

55505105994 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1925004 + ... + 1953624.

It is an arithmetic number, because the mean of its divisors is an integer number (1329549144).

Almost surely, 255505105994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505105994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63818358912).

55505105994 is an abundant number, since it is smaller than the sum of its proper divisors (72131611830).

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

55505105994 is a wasteful number, since it uses less digits than its factorization.

55505105994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28732 (or 28709 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 48.

The spelling of 55505105994 in words is "fifty-five billion, five hundred five million, one hundred five thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 13 23 26 39 46 47 69 78 94 138 141 282 299 529 598 611 897 1058 1081 1222 1587 1794 1833 2162 3174 3243 3666 6486 6877 13754 14053 20631 24863 28106 28621 41262 42159 49726 57242 74589 84318 85863 149178 171726 323219 372073 646438 658283 744146 969657 1116219 1316566 1345187 1939314 1974849 2232438 2690374 3949698 4035561 8071122 8557679 15140509 17115358 17487431 25673037 30281018 30939301 34974862 45421527 51346074 52462293 61878602 90843054 92817903 104924586 185635806 196826617 393653234 402210913 590479851 711603923 804421826 1180959702 1206632739 1423207846 2134811769 2413265478 4269623538 9250850999 18501701998 27752552997 55505105994