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117110736960 = 2635731720921
BaseRepresentation
bin110110100010001011…
…0000000100001000000
3102012021122111211201020
41231010112000201000
53404320322040320
6125444441305440
711314053561000
oct1550426004100
9365248454636
10117110736960
1145736a5a028
121a844195280
13b074735779
14594d728000
1530a64d7940
hex1b44580840

117110736960 has 448 divisors, whose sum is σ = 459145843200. Its totient is φ = 25192366080.

The previous prime is 117110736937. The next prime is 117110736989. The reversal of 117110736960 is 69637011711.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1171107369602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5587300 + ... + 5608220.

Almost surely, 2117110736960 is an apocalyptic number.

117110736960 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 117110736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229572921600).

117110736960 is an abundant number, since it is smaller than the sum of its proper divisors (342035106240).

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

117110736960 is a wasteful number, since it uses less digits than its factorization.

117110736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20979 (or 20955 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The spelling of 117110736960 in words is "one hundred seventeen billion, one hundred ten million, seven hundred thirty-six thousand, nine hundred sixty".