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117907348104 = 233271348191
BaseRepresentation
bin110110111001111010…
…0110101101010001000
3102021100011110212202200
41231303310311222020
53412433240114404
6130055455400200
711342565631320
oct1556364655210
9367304425680
10117907348104
1146005695847
121aa26b23060
13b1707a0000
1459c7450280
1531013e0839
hex1b73d35a88

117907348104 has 240 divisors, whose sum is σ = 395411128320. Its totient is φ = 31092647040.

The previous prime is 117907348073. The next prime is 117907348147. The reversal of 117907348104 is 401843709711.

117907348104 is a `hidden beast` number, since 1 + 17 + 90 + 73 + 481 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 117907348104.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14390649 + ... + 14398839.

It is an arithmetic number, because the mean of its divisors is an integer number (1647546368).

Almost surely, 2117907348104 is an apocalyptic number.

117907348104 is a gapful number since it is divisible by the number (14) 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 117907348104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197705564160).

117907348104 is an abundant number, since it is smaller than the sum of its proper divisors (277503780216).

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

117907348104 is an equidigital number, since it uses as much as digits as its factorization.

117907348104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 117907348104 in words is "one hundred seventeen billion, nine hundred seven million, three hundred forty-eight thousand, one hundred four".