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117457979256 = 23336771791447
BaseRepresentation
bin110110101100100001…
…0101000011101111000
3102020011211220120121000
41231121002220131320
53411023220314011
6125543124045000
711325501231132
oct1553102503570
9366154816530
10117457979256
11458a4a70332
121a920533760
13b0cb664697
1459838b8052
1530c6c29356
hex1b590a8778

117457979256 has 256 divisors, whose sum is σ = 340291584000. Its totient is φ = 37517800320.

The previous prime is 117457979237. The next prime is 117457979279. The reversal of 117457979256 is 652979754711.

117457979256 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 579 + 7 + 9 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117457979193 and 117457979202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81172725 + ... + 81174171.

It is an arithmetic number, because the mean of its divisors is an integer number (1329264000).

Almost surely, 2117457979256 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 117457979256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170145792000).

117457979256 is an abundant number, since it is smaller than the sum of its proper divisors (222833604744).

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

117457979256 is a wasteful number, since it uses less digits than its factorization.

117457979256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1669 counting only the distinct ones).

The product of its digits is 33339600, while the sum is 63.

The spelling of 117457979256 in words is "one hundred seventeen billion, four hundred fifty-seven million, nine hundred seventy-nine thousand, two hundred fifty-six".