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117939838104 = 23351123376481
BaseRepresentation
bin110110111010111000…
…0110001110010011000
3102021102102121112200000
41231311300301302120
53413020044304404
6130103020013000
711343442040334
oct1556560616230
9367372545600
10117939838104
1146021a66a90
121aa35991160
13b17743746a
1459cb8aa7c4
1531041ac339
hex1b75c31c98

117939838104 has 384 divisors, whose sum is σ = 387326983680. Its totient is φ = 33256396800.

The previous prime is 117939838073. The next prime is 117939838189. The reversal of 117939838104 is 401838939711.

It is a happy number.

117939838104 is a `hidden beast` number, since 1 + 179 + 3 + 98 + 381 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18194544 + ... + 18201024.

It is an arithmetic number, because the mean of its divisors is an integer number (1008664020).

Almost surely, 2117939838104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117939838104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193663491840).

117939838104 is an abundant number, since it is smaller than the sum of its proper divisors (269387145576).

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

117939838104 is a wasteful number, since it uses less digits than its factorization.

117939838104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573 (or 6557 counting only the distinct ones).

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

The spelling of 117939838104 in words is "one hundred seventeen billion, nine hundred thirty-nine million, eight hundred thirty-eight thousand, one hundred four".