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117309330432 = 2103372131661
BaseRepresentation
bin110110101000000101…
…1100101010000000000
3102012210111012102202000
41231100023211100000
53410222142033212
6125520254024000
711322014566500
oct1552013452000
9365714172660
10117309330432
1145829071268
121a89a7a8000
13b0a69197b8
14596bc61a00
1530b8b651dc
hex1b502e5400

117309330432 has 528 divisors, whose sum is σ = 407835109440. Its totient is φ = 33210777600.

The previous prime is 117309330427. The next prime is 117309330449. The reversal of 117309330432 is 234033903711.

It is a happy number.

117309330432 is a `hidden beast` number, since 1 + 17 + 309 + 3 + 304 + 32 = 666.

It is a super-2 number, since 2×1173093304322 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177472182 + ... + 177472842.

It is an arithmetic number, because the mean of its divisors is an integer number (772414980).

Almost surely, 2117309330432 is an apocalyptic number.

117309330432 is a gapful number since it is divisible by the number (12) 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 117309330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203917554720).

117309330432 is an abundant number, since it is smaller than the sum of its proper divisors (290525779008).

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

117309330432 is a wasteful number, since it uses less digits than its factorization.

117309330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 117309330432 in words is "one hundred seventeen billion, three hundred nine million, three hundred thirty thousand, four hundred thirty-two".