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113336405280 = 2536571271093
BaseRepresentation
bin110100110001101100…
…0000100110100100000
3101211112121102221000000
41221203120010310200
53324103104432110
6124022132300000
711121403356360
oct1514330046440
9354477387000
10113336405280
114407a49a84a
1219b70171600
13a8c27b7807
1456b23589a0
152e34e8c1c0
hex1a63604d20

113336405280 has 672 divisors, whose sum is σ = 462838247424. Its totient is φ = 25677969408.

The previous prime is 113336405279. The next prime is 113336405309. The reversal of 113336405280 is 82504633311.

113336405280 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 640 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 103692414 + ... + 103693506.

It is an arithmetic number, because the mean of its divisors is an integer number (688747392).

Almost surely, 2113336405280 is an apocalyptic number.

113336405280 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 113336405280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231419123712).

113336405280 is an abundant number, since it is smaller than the sum of its proper divisors (349501842144).

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

113336405280 is a wasteful number, since it uses less digits than its factorization.

113336405280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 113336405280 in words is "one hundred thirteen billion, three hundred thirty-six million, four hundred five thousand, two hundred eighty".