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116574930239040 = 263257313194143271
BaseRepresentation
bin11010100000011000110111…
…010011100111111001000000
3120021202110021022202120122100
4122200120313103213321000
5110234430424120122130
61051533441133110400
733361155305445000
oct3240306723477100
9507673238676570
10116574930239040
1134165172021729
12110a9004328400
135007c7946b470
1420b038466c000
15d725ac665c60
hex6a06374e7e40

116574930239040 has 5376 divisors, whose sum is σ = 557682757632000. Its totient is φ = 22122558259200.

The previous prime is 116574930238919. The next prime is 116574930239051. The reversal of 116574930239040 is 40932039475611.

116574930239040 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 7 + 493 + 0 + 23 + 90 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 430165794105 + ... + 430165794375.

It is an arithmetic number, because the mean of its divisors is an integer number (103735632000).

Almost surely, 2116574930239040 is an apocalyptic number.

116574930239040 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 116574930239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278841378816000).

116574930239040 is an abundant number, since it is smaller than the sum of its proper divisors (441107827392960).

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

116574930239040 is a wasteful number, since it uses less digits than its factorization.

116574930239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 116574930239040 in words is "one hundred sixteen trillion, five hundred seventy-four billion, nine hundred thirty million, two hundred thirty-nine thousand, forty".