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113352265728 = 212341341641
BaseRepresentation
bin110100110010001010…
…0100101000000000000
3101211120201021201110000
41221210110211000000
53324121140000403
6124023500240000
711121655234632
oct1514424450000
9354521251400
10113352265728
1144088442a59
1219b75540000
13a8c5b7b9b0
1456b44c6a52
152e365717a3
hex1a64525000

113352265728 has 520 divisors, whose sum is σ = 374140438056. Its totient is φ = 33973862400.

The previous prime is 113352265721. The next prime is 113352265739. The reversal of 113352265728 is 827562253311.

113352265728 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 52 + 26 + 572 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2511212544 + 110841053184 = 50112^2 + 332928^2 .

It is a super-2 number, since 2×1133522657282 (a number of 23 digits) contains 22 as substring.

Its product of digits (604800) is a multiple of the sum of its prime divisors (700).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113352265721) 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 39 ways as a sum of consecutive naturals, for example, 176836288 + ... + 176836928.

Almost surely, 2113352265728 is an apocalyptic number.

113352265728 is a gapful number since it is divisible by the number (18) 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 113352265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187070219028).

113352265728 is an abundant number, since it is smaller than the sum of its proper divisors (260788172328).

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

113352265728 is an equidigital number, since it uses as much as digits as its factorization.

113352265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 700 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 113352265728 in words is "one hundred thirteen billion, three hundred fifty-two million, two hundred sixty-five thousand, seven hundred twenty-eight".