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113683046400 = 213345271189
BaseRepresentation
bin110100111100000001…
…0011010000000000000
3101212102202201010020000
41221320002122000000
53330310324441100
6124120354120000
711133112644030
oct1517002320000
9355382633200
10113683046400
1144238130410
121a048280000
13a949565bc1
1457063cd8c0
152e55610900
hex1a7809a000

113683046400 has 1680 divisors, whose sum is σ = 530950749120. Its totient is φ = 23357030400.

The previous prime is 113683046383. The next prime is 113683046401. The reversal of 113683046400 is 4640386311.

It is a happy number.

113683046400 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 8 + 3 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113683046401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1277337556 + ... + 1277337644.

Almost surely, 2113683046400 is an apocalyptic number.

113683046400 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 113683046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265475374560).

113683046400 is an abundant number, since it is smaller than the sum of its proper divisors (417267702720).

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

113683046400 is an equidigital number, since it uses as much as digits as its factorization.

113683046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 113683046400 in words is "one hundred thirteen billion, six hundred eighty-three million, forty-six thousand, four hundred".