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117560615040 = 27325113750147
BaseRepresentation
bin110110101111100101…
…0001010000010000000
3102020110000001000102100
41231133022022002000
53411231004140130
6130001231550400
711331155511621
oct1553712120200
9366400030370
10117560615040
11459479a20a0
121a94a98b400
13b1169bbb0b
145993393a48
1530d0c4ec60
hex1b5f28a080

117560615040 has 384 divisors, whose sum is σ = 454834336320. Its totient is φ = 27728732160.

The previous prime is 117560615033. The next prime is 117560615057. The reversal of 117560615040 is 40516065711.

It is a happy number.

117560615040 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 606 + 1 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 117560614986 and 117560615004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2319247 + ... + 2369393.

Almost surely, 2117560615040 is an apocalyptic number.

117560615040 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 117560615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227417168160).

117560615040 is an abundant number, since it is smaller than the sum of its proper divisors (337273721280).

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

117560615040 is a wasteful number, since it uses less digits than its factorization.

117560615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50220 (or 50205 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 117560615040 in words is "one hundred seventeen billion, five hundred sixty million, six hundred fifteen thousand, forty".