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12793224780 = 22335721925447
BaseRepresentation
bin10111110101000100…
…10001111001001100
31020000120201011012000
423322202101321030
5202200031143110
65513243112300
7632012421300
oct137242217114
936016634160
1012793224780
115475495146
122590512690
13128b5b48bb
14895101d00
154ed20a1c0
hex2fa891e4c

12793224780 has 288 divisors, whose sum is σ = 48738009600. Its totient is φ = 2770153344.

The previous prime is 12793224733. The next prime is 12793224791. The reversal of 12793224780 is 8742239721.

12793224780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490017 + ... + 515463.

It is an arithmetic number, because the mean of its divisors is an integer number (169229200).

Almost surely, 212793224780 is an apocalyptic number.

12793224780 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 12793224780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24369004800).

12793224780 is an abundant number, since it is smaller than the sum of its proper divisors (35944784820).

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

12793224780 is a wasteful number, since it uses less digits than its factorization.

12793224780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25498 (or 25483 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12793224780 in words is "twelve billion, seven hundred ninety-three million, two hundred twenty-four thousand, seven hundred eighty".