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117259674624 = 21034292412
BaseRepresentation
bin110110100110100111…
…0001010010000000000
3102012200000202122210000
41231031032022100000
53410121434041444
6125511321440000
711320542534411
oct1551516122000
9365600678700
10117259674624
1145803036104
121a886040000
13b099551c71
145965417808
1530b4607469
hex1b4d38a400

117259674624 has 495 divisors, whose sum is σ = 371712054571. Its totient is φ = 36818288640.

The previous prime is 117259674617. The next prime is 117259674647. The reversal of 117259674624 is 426476952711.

The square root of 117259674624 is 342432.

It is a perfect power (a square), and thus also a powerful number.

117259674624 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 5 + 9 + 6 + 7 + 4 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30964737024 + 86294937600 = 175968^2 + 293760^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2859992044 + ... + 2859992084.

Almost surely, 2117259674624 is an apocalyptic number.

117259674624 is the 342432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117259674624

117259674624 is an abundant number, since it is smaller than the sum of its proper divisors (254452379947).

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

117259674624 is an frugal number, since it uses more digits than its factorization.

117259674624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 75 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 117259674624 in words is "one hundred seventeen billion, two hundred fifty-nine million, six hundred seventy-four thousand, six hundred twenty-four".