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55117493855424 = 263872112132131
BaseRepresentation
bin11001000100001000010101…
…01001000110010011000000
321020011011212220200200000000
430202010022221012103000
524211021111411333144
6313120343243000000
714416051610445600
oct1442041251062300
9236134786620000
1055117493855424
111662021a40a200
126222181209000
13249a732700400
14d879b5526c00
15658aec2e5769
hex32210aa464c0

55117493855424 has 3402 divisors, whose sum is σ = 228872951559252. Its totient is φ = 13114105804800.

The previous prime is 55117493855423. The next prime is 55117493855519. The reversal of 55117493855424 is 42455839471155.

55117493855424 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 7 + 4 + 9 + 3 + 85 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3402).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55117493855423) by changing a digit.

It is a polite number, since it can be written in 485 ways as a sum of consecutive naturals, for example, 420744227839 + ... + 420744227969.

Almost surely, 255117493855424 is an apocalyptic number.

55117493855424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55117493855424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114436475779626).

55117493855424 is an abundant number, since it is smaller than the sum of its proper divisors (173755457703828).

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

55117493855424 is a wasteful number, since it uses less digits than its factorization.

55117493855424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 167 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 55117493855424 in words is "fifty-five trillion, one hundred seventeen billion, four hundred ninety-three million, eight hundred fifty-five thousand, four hundred twenty-four".