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117792342236160 = 2103553110928019
BaseRepresentation
bin11010110010000110101010…
…101101110101110000000000
3120110001211121212012210100000
4122302012222231311300000
5110414402204103024120
61054305015513200000
733545134022622024
oct3262065255656000
9513054555183300
10117792342236160
11345944a7396989
1211264b41100000
135095a021cb737
142113273480384
15d940b0cab990
hex6b21aab75c00

117792342236160 has 1056 divisors, whose sum is σ = 440941800499200. Its totient is φ = 30118067896320.

The previous prime is 117792342236159. The next prime is 117792342236161. The reversal of 117792342236160 is 61632243297711.

117792342236160 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 9 + 2 + 342 + 236 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (117792342236159) and next prime (117792342236161).

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 = 117792342236097 and 117792342236106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117792342236161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4204002631 + ... + 4204030649.

It is an arithmetic number, because the mean of its divisors is an integer number (417558523200).

Almost surely, 2117792342236160 is an apocalyptic number.

117792342236160 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 117792342236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220470900249600).

117792342236160 is an abundant number, since it is smaller than the sum of its proper divisors (323149458263040).

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

117792342236160 is a wasteful number, since it uses less digits than its factorization.

117792342236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28199 (or 28169 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 117792342236160 in words is "one hundred seventeen trillion, seven hundred ninety-two billion, three hundred forty-two million, two hundred thirty-six thousand, one hundred sixty".