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113715847634688 = 28331319371800191
BaseRepresentation
bin11001110110110010001000…
…101101000001111100000000
3112220122010110221102201012000
4121312302020231001330000
5104401110023443302223
61041504201134304000
732644461466340025
oct3166621055017400
9486563427381160
10113715847634688
1133262690473012
1210906a87358000
134b5b4875a7b10
142011c3ab6b54c
15d23024459543
hex676c88b41f00

113715847634688 has 576 divisors, whose sum is σ = 391508636467200. Its totient is φ = 32252031221760.

The previous prime is 113715847634687. The next prime is 113715847634693. The reversal of 113715847634688 is 886436748517311.

It is a happy number.

113715847634688 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 1 + 584 + 7 + 6 + 34 + 6 + 8 + 8 = 666.

113715847634688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113715847634681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62268673 + ... + 64068863.

Almost surely, 2113715847634688 is an apocalyptic number.

113715847634688 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 113715847634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195754318233600).

113715847634688 is an abundant number, since it is smaller than the sum of its proper divisors (277792788832512).

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

113715847634688 is a wasteful number, since it uses less digits than its factorization.

113715847634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800285 (or 1800265 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 113715847634688 in words is "one hundred thirteen trillion, seven hundred fifteen billion, eight hundred forty-seven million, six hundred thirty-four thousand, six hundred eighty-eight".