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116067809520 = 243451319127571
BaseRepresentation
bin110110000011000101…
…1100011100011110000
3102002120222001122020000
41230012023203203300
53400201324401040
6125153143550000
711246161050135
oct1540613434360
9362528048200
10116067809520
1145251286223
121a5b2a5b300
13ac39648440
14589100458c
153044b77130
hex1b062e38f0

116067809520 has 800 divisors, whose sum is σ = 461383802880. Its totient is φ = 26806671360.

The previous prime is 116067809471. The next prime is 116067809521. The reversal of 116067809520 is 25908760611.

116067809520 is a `hidden beast` number, since 1 + 1 + 60 + 67 + 8 + 0 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116067809521) 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 159 ways as a sum of consecutive naturals, for example, 203270835 + ... + 203271405.

Almost surely, 2116067809520 is an apocalyptic number.

116067809520 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 116067809520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230691901440).

116067809520 is an abundant number, since it is smaller than the sum of its proper divisors (345315993360).

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

116067809520 is a wasteful number, since it uses less digits than its factorization.

116067809520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 116067809520 in words is "one hundred sixteen billion, sixty-seven million, eight hundred nine thousand, five hundred twenty".