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117547549920 = 25345172323197
BaseRepresentation
bin110110101111001100…
…0010100010011100000
3102020102002110020110000
41231132120110103200
53411214133044140
6130000043540000
711330636455113
oct1553630242340
9366362406400
10117547549920
1145940589079
121a94652a600
13b114096088
14599175257a
1530cea1da30
hex1b5e6144e0

117547549920 has 480 divisors, whose sum is σ = 458365013568. Its totient is φ = 28218212352.

The previous prime is 117547549891. The next prime is 117547549927. The reversal of 117547549920 is 29945745711.

117547549920 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 4 + 7 + 549 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117547549927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5055762 + ... + 5078958.

Almost surely, 2117547549920 is an apocalyptic number.

117547549920 is a gapful number since it is divisible by the number (10) 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 117547549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229182506784).

117547549920 is an abundant number, since it is smaller than the sum of its proper divisors (340817463648).

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

117547549920 is a wasteful number, since it uses less digits than its factorization.

117547549920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23264 (or 23247 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

It can be divided in two parts, 1175475 and 49920, that added together give a triangular number (1225395 = T1565).

The spelling of 117547549920 in words is "one hundred seventeen billion, five hundred forty-seven million, five hundred forty-nine thousand, nine hundred twenty".