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117099924480 = 21034571119193
BaseRepresentation
bin110110100001110110…
…0110000110000000000
3102012020220011111210000
41231003230300300000
53404310040040410
6125443413440000
711313562635510
oct1550354606000
9365226144700
10117099924480
11457309444a0
121a840640000
13b07241b156
14594c111840
1530a559ddc0
hex1b43b30c00

117099924480 has 1760 divisors, whose sum is σ = 553550722560. Its totient is φ = 22932357120.

The previous prime is 117099924437. The next prime is 117099924503. The reversal of 117099924480 is 84429990711.

117099924480 is a `hidden beast` number, since 1 + 1 + 70 + 9 + 9 + 92 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 606735264 + ... + 606735456.

It is an arithmetic number, because the mean of its divisors is an integer number (314517456).

Almost surely, 2117099924480 is an apocalyptic number.

117099924480 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 117099924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276775361280).

117099924480 is an abundant number, since it is smaller than the sum of its proper divisors (436450798080).

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

117099924480 is a wasteful number, since it uses less digits than its factorization.

117099924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 117099924480 in words is "one hundred seventeen billion, ninety-nine million, nine hundred twenty-four thousand, four hundred eighty".