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117104459472 = 2432721113176827
BaseRepresentation
bin110110100001111111…
…0000011111011010000
3102012021012200220121200
41231003332003323100
53404312220200342
6125444054551200
711313646324200
oct1550376037320
9365235626550
10117104459472
1145733461720
121a842068500
13b073348390
14594c972400
1530a5b9794c
hex1b43f83ed0

117104459472 has 720 divisors, whose sum is σ = 474302267712. Its totient is φ = 26421534720.

The previous prime is 117104459443. The next prime is 117104459477. The reversal of 117104459472 is 274954401711.

117104459472 is a `hidden beast` number, since 1 + 1 + 7 + 10 + 44 + 594 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117104459477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17149723 + ... + 17156549.

Almost surely, 2117104459472 is an apocalyptic number.

117104459472 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 117104459472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237151133856).

117104459472 is an abundant number, since it is smaller than the sum of its proper divisors (357197808240).

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

117104459472 is a wasteful number, since it uses less digits than its factorization.

117104459472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 117104459472 in words is "one hundred seventeen billion, one hundred four million, four hundred fifty-nine thousand, four hundred seventy-two".