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117745642080 = 2532511217127313
BaseRepresentation
bin110110110101000101…
…1111110101001100000
3102020220220012100210200
41231222023332221200
53412120341021310
6130031441425200
711335563305223
oct1555213765140
9366826170720
10117745642080
1145a32388700
121a9a093b200
13b146132b81
1459adb995ba
1530e20ec9c0
hex1b6a2fea60

117745642080 has 864 divisors, whose sum is σ = 472823350272. Its totient is φ = 26568622080.

The previous prime is 117745641989. The next prime is 117745642111. The reversal of 117745642080 is 80246547711.

117745642080 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 4 + 564 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 376184004 + ... + 376184316.

It is an arithmetic number, because the mean of its divisors is an integer number (547249248).

Almost surely, 2117745642080 is an apocalyptic number.

117745642080 is a gapful number since it is divisible by the number (10) 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 117745642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236411675136).

117745642080 is an abundant number, since it is smaller than the sum of its proper divisors (355077708192).

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

117745642080 is a wasteful number, since it uses less digits than its factorization.

117745642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 117745642080 in words is "one hundred seventeen billion, seven hundred forty-five million, six hundred forty-two thousand, eighty".