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117704834016 = 253711193972111
BaseRepresentation
bin110110110011111000…
…0010011101111100000
3102020211001102002122220
41231213300103233200
53412024414142031
6130023423031040
711334556403250
oct1554760235740
9366731362586
10117704834016
1145a11345a30
121a98b13b480
13b13a8455a3
1459a85b5960
1530dd73b596
hex1b67c13be0

117704834016 has 384 divisors, whose sum is σ = 406704291840. Its totient is φ = 28876953600.

The previous prime is 117704834011. The next prime is 117704834029. The reversal of 117704834016 is 610438407711.

It is a super-2 number, since 2×1177048340162 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117704834011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55756801 + ... + 55758911.

It is an arithmetic number, because the mean of its divisors is an integer number (1059125760).

Almost surely, 2117704834016 is an apocalyptic number.

117704834016 is a gapful number since it is divisible by the number (16) 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 117704834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203352145920).

117704834016 is an abundant number, since it is smaller than the sum of its proper divisors (288999457824).

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

117704834016 is a wasteful number, since it uses less digits than its factorization.

117704834016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 117704834016 in words is "one hundred seventeen billion, seven hundred four million, eight hundred thirty-four thousand, sixteen".