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117069976128 = 263717792821
BaseRepresentation
bin110110100000111101…
…0100001001001000000
3102012011210210222100210
41231001322201021000
53404224403214003
6125440423514120
711313050243520
oct1550172411100
9365153728323
10117069976128
1145715a49896
121a8325b8940
13b069163831
145948157680
1530a2b35503
hex1b41ea1240

117069976128 has 336 divisors, whose sum is σ = 380087697024. Its totient is φ = 31044648960.

The previous prime is 117069976117. The next prime is 117069976139. The reversal of 117069976128 is 821679960711.

117069976128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (117069976117) and next prime (117069976139).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1170699761282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142593958 + ... + 142594778.

It is an arithmetic number, because the mean of its divisors is an integer number (1131213384).

Almost surely, 2117069976128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117069976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190043848512).

117069976128 is an abundant number, since it is smaller than the sum of its proper divisors (263017720896).

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

117069976128 is an equidigital number, since it uses as much as digits as its factorization.

117069976128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 57.

The spelling of 117069976128 in words is "one hundred seventeen billion, sixty-nine million, nine hundred seventy-six thousand, one hundred twenty-eight".