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55465011792 = 2434132732251
BaseRepresentation
bin110011101001111110…
…001110101001010000
312022011110012112110000
4303221332032221100
51402043020334132
641251423410000
74002321551511
oct635176165120
9168143175400
1055465011792
112158260a323
12a8bb153900
1352cc053108
14298247aa08
15169955287c
hexce9f8ea50

55465011792 has 100 divisors (see below), whose sum is σ = 160657790656. Its totient is φ = 18473832000.

The previous prime is 55465011769. The next prime is 55465011851. The reversal of 55465011792 is 29711056455.

It is a happy number.

55465011792 is a `hidden beast` number, since 5 + 5 + 46 + 501 + 17 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1703667 + ... + 1735917.

Almost surely, 255465011792 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 55465011792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80328895328).

55465011792 is an abundant number, since it is smaller than the sum of its proper divisors (105192778864).

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

55465011792 is a wasteful number, since it uses less digits than its factorization.

55465011792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33598 (or 33583 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 55465011792 in words is "fifty-five billion, four hundred sixty-five million, eleven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1327 2654 3981 5308 7962 10616 11943 15924 21232 23886 31848 32251 35829 47772 63696 64502 71658 95544 96753 107487 129004 143316 191088 193506 214974 258008 286632 290259 387012 429948 516016 573264 580518 774024 859896 870777 1161036 1548048 1719792 1741554 2322072 2612331 3483108 4644144 5224662 6966216 10449324 13932432 20898648 41797296 42797077 85594154 128391231 171188308 256782462 342376616 385173693 513564924 684753232 770347386 1027129848 1155521079 1540694772 2054259696 2311042158 3081389544 3466563237 4622084316 6162779088 6933126474 9244168632 13866252948 18488337264 27732505896 55465011792