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55132220664 = 2332765725287
BaseRepresentation
bin110011010110001000…
…101110110011111000
312021022020222222211200
4303112020232303320
51400402322030124
641154414454200
73661141100133
oct632610566370
9167266888750
1055132220664
1121421779434
12a827804360
135278113aa1
1429501ad21a
15167a217bc9
hexcd622ecf8

55132220664 has 24 divisors (see below), whose sum is σ = 149316431160. Its totient is φ = 18377406864.

The previous prime is 55132220639. The next prime is 55132220677. The reversal of 55132220664 is 46602223155.

55132220664 is a `hidden beast` number, since 551 + 3 + 22 + 20 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×551322206643 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 382862572 + ... + 382862715.

It is an arithmetic number, because the mean of its divisors is an integer number (6221517965).

Almost surely, 255132220664 is an apocalyptic number.

It is an amenable number.

55132220664 is an abundant number, since it is smaller than the sum of its proper divisors (94184210496).

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

55132220664 is a wasteful number, since it uses less digits than its factorization.

55132220664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765725299 (or 765725292 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 55132220664 in words is "fifty-five billion, one hundred thirty-two million, two hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 765725287 1531450574 2297175861 3062901148 4594351722 6125802296 6891527583 9188703444 13783055166 18377406888 27566110332 55132220664