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113093892527616 = 29337111329319091
BaseRepresentation
bin11001101101101110111001…
…010010100101011000000000
3112211102200002211011122202000
4121231232321102211120000
5104310412242441340431
61040310341134024000
732551523041220340
oct3155567122453000
9484380084148660
10113093892527616
1133042939a86630
121082642b948000
134b149291b62c0
141dcdab8ab0d20
15d11c71dc99e6
hex66dbb94a5600

113093892527616 has 2560 divisors, whose sum is σ = 480026876313600. Its totient is φ = 25333088256000.

The previous prime is 113093892527549. The next prime is 113093892527617. The reversal of 113093892527616 is 616725298390311.

113093892527616 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 9 + 3 + 8 + 9 + 2 + 5 + 2 + 7 + 616 = 666.

113093892527616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113093892527617) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12440199231 + ... + 12440208321.

It is an arithmetic number, because the mean of its divisors is an integer number (187510498560).

Almost surely, 2113093892527616 is an apocalyptic number.

113093892527616 is a gapful number since it is divisible by the number (16) 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 113093892527616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240013438156800).

113093892527616 is an abundant number, since it is smaller than the sum of its proper divisors (366932983785984).

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

113093892527616 is a wasteful number, since it uses less digits than its factorization.

113093892527616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 113093892527616 in words is "one hundred thirteen trillion, ninety-three billion, eight hundred ninety-two million, five hundred twenty-seven thousand, six hundred sixteen".