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117146088324 = 223517192316223
BaseRepresentation
bin110110100011001110…
…0110111001110000100
3102012101010000212200000
41231012130313032010
53404403344311244
6125452143121300
711314663215126
oct1550634671604
9365333025600
10117146088324
1145754a05031
121a853ba3230
13b07bb62435
1459542cb216
1530a966c169
hex1b46737384

117146088324 has 288 divisors, whose sum is σ = 357166817280. Its totient is φ = 33301559808.

The previous prime is 117146088317. The next prime is 117146088337. The reversal of 117146088324 is 423880641711.

117146088324 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 4 + 608 + 8 + 32 + 4 = 666.

It is a super-2 number, since 2×1171460883242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 117146088324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7212877 + ... + 7229099.

It is an arithmetic number, because the mean of its divisors is an integer number (1240162560).

Almost surely, 2117146088324 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 117146088324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178583408640).

117146088324 is an abundant number, since it is smaller than the sum of its proper divisors (240020728956).

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

117146088324 is a wasteful number, since it uses less digits than its factorization.

117146088324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16301 (or 16287 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 117146088324 in words is "one hundred seventeen billion, one hundred forty-six million, eighty-eight thousand, three hundred twenty-four".