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117696460800 = 2113521136781
BaseRepresentation
bin110110110011101000…
…0010111100000000000
3102020210110122200202210
41231213100113200000
53412020243221200
6130022523342120
711334425260452
oct1554720274000
9366713580683
10117696460800
1145a07647016
121a988381940
13b138ba3319
1459a74362d2
1530dcb35650
hex1b67417800

117696460800 has 288 divisors, whose sum is σ = 392589091440. Its totient is φ = 31103385600.

The previous prime is 117696460751. The next prime is 117696460807. The reversal of 117696460800 is 8064696711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 117696460800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117696460807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17353410 + ... + 17360190.

Almost surely, 2117696460800 is an apocalyptic number.

117696460800 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 117696460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196294545720).

117696460800 is an abundant number, since it is smaller than the sum of its proper divisors (274892630640).

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

117696460800 is a wasteful number, since it uses less digits than its factorization.

117696460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6929 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 117696460800 in words is "one hundred seventeen billion, six hundred ninety-six million, four hundred sixty thousand, eight hundred".