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117768986496 = 2732727732699
BaseRepresentation
bin110110110101110010…
…1000001111110000000
3102020222112010101022200
41231223211001332000
53412142330031441
6130034034033200
711336265603600
oct1555345017600
9366875111280
10117768986496
1145a44582707
121a9a8718800
13b14ac17635
1459b2d14c00
1530e41ae7b6
hex1b6b941f80

117768986496 has 288 divisors, whose sum is σ = 394878159000. Its totient is φ = 33592301568.

The previous prime is 117768986473. The next prime is 117768986501. The reversal of 117768986496 is 694689867711.

117768986496 is a `hidden beast` number, since 1 + 1 + 77 + 68 + 9 + 8 + 6 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43632955 + ... + 43635653.

Almost surely, 2117768986496 is an apocalyptic number.

117768986496 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 117768986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197439079500).

117768986496 is an abundant number, since it is smaller than the sum of its proper divisors (277109172504).

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

117768986496 is a wasteful number, since it uses less digits than its factorization.

117768986496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3484 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 117768986496 in words is "one hundred seventeen billion, seven hundred sixty-eight million, nine hundred eighty-six thousand, four hundred ninety-six".