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117960340608 = 27331122971137
BaseRepresentation
bin110110111011011111…
…0111111010010000000
3102021110212012011211000
41231312332333102000
53413040321344413
6130105031252000
711344111231365
oct1556676772200
9367425164730
10117960340608
114603259a900
121aa4081a000
13b17b765516
1459d04c646c
153105dac073
hex1b76fbf480

117960340608 has 768 divisors, whose sum is σ = 404375328000. Its totient is φ = 33778483200.

The previous prime is 117960340583. The next prime is 117960340643. The reversal of 117960340608 is 806043069711.

It is a happy number.

117960340608 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 6 + 0 + 34 + 0 + 608 = 666.

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, 861024316 + ... + 861024452.

It is an arithmetic number, because the mean of its divisors is an integer number (526530375).

Almost surely, 2117960340608 is an apocalyptic number.

117960340608 is a gapful number since it is divisible by the number (18) 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 117960340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202187664000).

117960340608 is an abundant number, since it is smaller than the sum of its proper divisors (286414987392).

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

117960340608 is a wasteful number, since it uses less digits than its factorization.

117960340608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 117960340608 in words is "one hundred seventeen billion, nine hundred sixty million, three hundred forty thousand, six hundred eight".