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113318141386176 = 2633431977741427
BaseRepresentation
bin11001110000111111101111…
…100100000101110111000000
3112212020002221002221222201000
4121300333233210011313000
5104323101023143324201
61041001345133212000
732603652116114106
oct3160775744056700
9485202832858630
10113318141386176
1133119a54684101
1210861994331000
134b2cb1623479c
141dda8ad48bc76
15d179e90ead86
hex670fef905dc0

113318141386176 has 224 divisors, whose sum is σ = 342612069338880. Its totient is φ = 36706993247232.

The previous prime is 113318141386171. The next prime is 113318141386181. The reversal of 113318141386176 is 671683141813311.

113318141386176 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 8 + 1 + 4 + 13 + 8 + 617 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (113318141386171) and next prime (113318141386181).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113318141386171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10767175 + ... + 18508601.

Almost surely, 2113318141386176 is an apocalyptic number.

113318141386176 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 113318141386176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171306034669440).

113318141386176 is an abundant number, since it is smaller than the sum of its proper divisors (229293927952704).

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

113318141386176 is a wasteful number, since it uses less digits than its factorization.

113318141386176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741688 (or 7741672 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 113318141386176 in words is "one hundred thirteen trillion, three hundred eighteen billion, one hundred forty-one million, three hundred eighty-six thousand, one hundred seventy-six".