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115397712742032 = 24347193718094177
BaseRepresentation
bin11010001111010000011111…
…101011010000011010010000
3120010120220200000100112110000
4122033100133223100122100
5110111134003430221112
61045232551040410000
733210131620021320
oct3217203753203220
9503526600315400
10115397712742032
1133850993481306
1210b38a24616900
134c50c5ab70576
14206d3c9bb7280
15d51b5cb267dc
hex68f41fad0690

115397712742032 has 400 divisors, whose sum is σ = 412657271002240. Its totient is φ = 30391267516416.

The previous prime is 115397712742003. The next prime is 115397712742033. The reversal of 115397712742032 is 230247217793511.

It is a happy number.

115397712742032 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 97 + 7 + 127 + 420 + 3 + 2 = 666.

It is a super-2 number, since 2×1153977127420322 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115397712742032.

It is not an unprimeable number, because it can be changed into a prime (115397712742033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2669473 + ... + 15424704.

Almost surely, 2115397712742032 is an apocalyptic number.

115397712742032 is a gapful number since it is divisible by the number (12) 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 115397712742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206328635501120).

115397712742032 is an abundant number, since it is smaller than the sum of its proper divisors (297259558260208).

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

115397712742032 is a wasteful number, since it uses less digits than its factorization.

115397712742032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18094260 (or 18094245 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 115397712742032 in words is "one hundred fifteen trillion, three hundred ninety-seven billion, seven hundred twelve million, seven hundred forty-two thousand, thirty-two".