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55132524144 = 2432745751343
BaseRepresentation
bin110011010110001001…
…111000111001110000
312021022021120102010200
4303112021320321300
51400402411233034
641154425155200
73661143502665
oct632611707160
9167267512120
1055132524144
1121421966445
12a82792bb00
1352781bbc69
14295024ba6c
15167a277a99
hexcd6278e70

55132524144 has 60 divisors (see below), whose sum is σ = 154318191456. Its totient is φ = 18374685696.

The previous prime is 55132524137. The next prime is 55132524191. The reversal of 55132524144 is 44142523155.

55132524144 is a `hidden beast` number, since 5 + 51 + 325 + 241 + 44 = 666.

55132524144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 55132524099 and 55132524108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048137 + ... + 1099479.

Almost surely, 255132524144 is an apocalyptic number.

It is an amenable number.

55132524144 is an abundant number, since it is smaller than the sum of its proper divisors (99185667312).

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

55132524144 is a wasteful number, since it uses less digits than its factorization.

55132524144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58814 (or 58805 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The spelling of 55132524144 in words is "fifty-five billion, one hundred thirty-two million, five hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7457 14914 22371 29828 44742 51343 59656 67113 89484 102686 119312 134226 154029 178968 205372 268452 308058 357936 410744 462087 536904 616116 821488 924174 1073808 1232232 1848348 2464464 3696696 7393392 382864751 765729502 1148594253 1531459004 2297188506 3062918008 3445782759 4594377012 6125836016 6891565518 9188754024 13783131036 18377508048 27566262072 55132524144