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113403027456 = 213343137149
BaseRepresentation
bin110100110011101011…
…0001110000000000000
3101211201020210200110000
41221213112032000000
53324222133334311
6124032512240000
711123142554205
oct1514726160000
9354636720400
10113403027456
1144104063aa4
1219b8a540000
13a903542a14
1456bb13bcac
152e3ac4c056
hex1a6758e000

113403027456 has 560 divisors, whose sum is σ = 361579363200. Its totient is φ = 35354050560.

The previous prime is 113403027373. The next prime is 113403027461. The reversal of 113403027456 is 654720304311.

113403027456 is a `hidden beast` number, since 1 + 1 + 340 + 302 + 7 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113403027456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 761094070 + ... + 761094218.

Almost surely, 2113403027456 is an apocalyptic number.

113403027456 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 113403027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180789681600).

113403027456 is an abundant number, since it is smaller than the sum of its proper divisors (248176335744).

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

113403027456 is an equidigital number, since it uses as much as digits as its factorization.

113403027456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 113403027456 in words is "one hundred thirteen billion, four hundred three million, twenty-seven thousand, four hundred fifty-six".