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117816975360 = 21335571989
BaseRepresentation
bin110110110111001110…
…0000110000000000000
3102021002212102110200000
41231232130012000000
53412242121202420
6130042510400000
711340420524040
oct1555634060000
9367085373600
10117816975360
1145a6967a427
121aa00800000
13b157b4a506
1459b9447720
1530e84dd690
hex1b6e706000

117816975360 has 1344 divisors, whose sum is σ = 515238796800. Its totient is φ = 25225592832.

The previous prime is 117816975343. The next prime is 117816975391. The reversal of 117816975360 is 63579618711.

117816975360 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 16 + 97 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 117816975297 and 117816975306.

It is a congruent number.

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, 1323786196 + ... + 1323786284.

It is an arithmetic number, because the mean of its divisors is an integer number (383362200).

Almost surely, 2117816975360 is an apocalyptic number.

117816975360 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 117816975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257619398400).

117816975360 is an abundant number, since it is smaller than the sum of its proper divisors (397421821440).

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

117816975360 is an frugal number, since it uses more digits than its factorization.

117816975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 117816975360 in words is "one hundred seventeen billion, eight hundred sixteen million, nine hundred seventy-five thousand, three hundred sixty".