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113708327040 = 27335711217457
BaseRepresentation
bin110100111100110001…
…0110110000010000000
3101212111112021111202000
41221321202312002000
53330333312431130
6124123100024000
711133540555360
oct1517142660200
9355445244660
10113708327040
1144250428100
121a054832000
13a951877a69
1457098d09a0
152e57956260
hex1a798b6080

113708327040 has 1536 divisors, whose sum is σ = 536822899200. Its totient is φ = 22189178880.

The previous prime is 113708327039. The next prime is 113708327041. The reversal of 113708327040 is 40723807311.

113708327040 is a `hidden beast` number, since 11 + 370 + 8 + 3 + 270 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113708327039) and next prime (113708327041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113708326986 and 113708327004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113708327041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248814492 + ... + 248814948.

It is an arithmetic number, because the mean of its divisors is an integer number (349494075).

Almost surely, 2113708327040 is an apocalyptic number.

113708327040 is a gapful number since it is divisible by the number (10) 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 113708327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268411449600).

113708327040 is an abundant number, since it is smaller than the sum of its proper divisors (423114572160).

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

113708327040 is a wasteful number, since it uses less digits than its factorization.

113708327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 113708327040 in words is "one hundred thirteen billion, seven hundred eight million, three hundred twenty-seven thousand, forty".