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13028226232320 = 2123251317319831
BaseRepresentation
bin1011110110010101111011…
…0010111111000000000000
31201010111010111010200211100
42331211132302333000000
53201423301403413240
643413030130414400
72513154406540035
oct275453662770000
951114114120740
1013028226232320
114173270076922
121564b5a731400
13736730716530
143307d8a6538c
15178d626d9e30
hexbd95ecbf000

13028226232320 has 624 divisors, whose sum is σ = 51493686334272. Its totient is φ = 3018294558720.

The previous prime is 13028226232289. The next prime is 13028226232349. The reversal of 13028226232320 is 2323262282031.

13028226232320 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 8 + 2 + 2 + 623 + 2 + 3 + 20 = 666.

13028226232320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×130282262323202 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40574805 + ... + 40894635.

It is an arithmetic number, because the mean of its divisors is an integer number (82521933228).

Almost surely, 213028226232320 is an apocalyptic number.

13028226232320 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 13028226232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25746843167136).

13028226232320 is an abundant number, since it is smaller than the sum of its proper divisors (38465460101952).

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

13028226232320 is a wasteful number, since it uses less digits than its factorization.

13028226232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319896 (or 319871 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13028226232320 in words is "thirteen trillion, twenty-eight billion, two hundred twenty-six million, two hundred thirty-two thousand, three hundred twenty".