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117370166400 = 27375231541
BaseRepresentation
bin110110101001111001…
…1101001110010000000
3102012221201200020000000
41231103303221302000
53410333230311100
6125530310000000
711323353645024
oct1552363516200
9365851606000
10117370166400
114585a443223
121a8b7046000
13b0b63ca106
145975d7a384
1530be180900
hex1b53ce9c80

117370166400 has 768 divisors, whose sum is σ = 449702169600. Its totient is φ = 30233088000.

The previous prime is 117370166387. The next prime is 117370166423. The reversal of 117370166400 is 4661073711.

117370166400 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 7 + 0 + 1 + 6 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216950130 + ... + 216950670.

It is an arithmetic number, because the mean of its divisors is an integer number (585549700).

Almost surely, 2117370166400 is an apocalyptic number.

117370166400 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 117370166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224851084800).

117370166400 is an abundant number, since it is smaller than the sum of its proper divisors (332332003200).

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

117370166400 is an frugal number, since it uses more digits than its factorization.

117370166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 117370166400 in words is "one hundred seventeen billion, three hundred seventy million, one hundred sixty-six thousand, four hundred".