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116935105320 = 2332511101292367
BaseRepresentation
bin110110011100111100…
…0000001101100101000
3102011211102000211101200
41230321320001230220
53403440341332240
6125415205044200
711306521665255
oct1547170015450
9364742024350
10116935105320
1145656900410
121a7b53b6660
13b047231017
14593428a42c
153095d93930
hex1b39e01b28

116935105320 has 192 divisors, whose sum is σ = 418694365440. Its totient is φ = 28067136000.

The previous prime is 116935105277. The next prime is 116935105337. The reversal of 116935105320 is 23501539611.

It is a happy number.

116935105320 is a `hidden beast` number, since 1 + 1 + 6 + 93 + 510 + 53 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 253777 + ... + 546143.

It is an arithmetic number, because the mean of its divisors is an integer number (2180699820).

Almost surely, 2116935105320 is an apocalyptic number.

116935105320 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 116935105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209347182720).

116935105320 is an abundant number, since it is smaller than the sum of its proper divisors (301759260120).

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

116935105320 is a wasteful number, since it uses less digits than its factorization.

116935105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292496 (or 292489 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 116935105320 in words is "one hundred sixteen billion, nine hundred thirty-five million, one hundred five thousand, three hundred twenty".