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116319836160 = 2113451121961
BaseRepresentation
bin110110001010100110…
…0111101100000000000
3102010020112021220210000
41230111030331200000
53401210334224120
6125234145440000
711255341202523
oct1542514754000
9363215256700
10116319836160
1145370573600
121a663340000
13ac7991a428
1458b668abba
15305bd5b990
hex1b1533d800

116319836160 has 1440 divisors, whose sum is σ = 490302212400. Its totient is φ = 26276659200.

The previous prime is 116319836159. The next prime is 116319836183. The reversal of 116319836160 is 61638913611.

116319836160 is a `hidden beast` number, since 1 + 1 + 631 + 9 + 8 + 3 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1906882530 + ... + 1906882590.

Almost surely, 2116319836160 is an apocalyptic number.

116319836160 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 116319836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245151106200).

116319836160 is an abundant number, since it is smaller than the sum of its proper divisors (373982376240).

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

116319836160 is a wasteful number, since it uses less digits than its factorization.

116319836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 116319836160 in words is "one hundred sixteen billion, three hundred nineteen million, eight hundred thirty-six thousand, one hundred sixty".