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116014867920 = 2436571914957
BaseRepresentation
bin110110000001100000…
…1100110010111010000
3102002110021102221000000
41230003001212113100
53400044301233140
6125144013130000
711244646051350
oct1540301462720
9362407387000
10116014867920
1145224406436
121a599189900
13ac2b6a0153
145887d82b60
1530401baa30
hex1b030665d0

116014867920 has 560 divisors, whose sum is σ = 486549037440. Its totient is φ = 25120336896.

The previous prime is 116014867873. The next prime is 116014867921. The reversal of 116014867920 is 29768410611.

116014867920 is a `hidden beast` number, since 1 + 160 + 1 + 486 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 (116014867921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7749082 + ... + 7764038.

Almost surely, 2116014867920 is an apocalyptic number.

116014867920 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 116014867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243274518720).

116014867920 is an abundant number, since it is smaller than the sum of its proper divisors (370534169520).

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

116014867920 is a wasteful number, since it uses less digits than its factorization.

116014867920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014 (or 14993 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 116014867920 in words is "one hundred sixteen billion, fourteen million, eight hundred sixty-seven thousand, nine hundred twenty".