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12792392730 = 232513173120747
BaseRepresentation
bin10111110100111110…
…00110110000011010
31020000112010212211100
423322133012300122
5202144323031410
65513213212230
7632002354425
oct137237066032
936015125740
1012792392730
115474a76aa7
122590191076
13128b382c70
14894d669bc
154ed0e38c0
hex2fa7c6c1a

12792392730 has 192 divisors, whose sum is σ = 39150978048. Its totient is φ = 2867927040.

The previous prime is 12792392687. The next prime is 12792392737. The reversal of 12792392730 is 3729329721.

It is a happy number.

12792392730 is digitally balanced in base 5, 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 not an unprimeable number, because it can be changed into a prime (12792392737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606217 + ... + 626963.

It is an arithmetic number, because the mean of its divisors is an integer number (203911344).

Almost surely, 212792392730 is an apocalyptic number.

12792392730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12792392730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575489024).

12792392730 is an abundant number, since it is smaller than the sum of its proper divisors (26358585318).

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

12792392730 is a wasteful number, since it uses less digits than its factorization.

12792392730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20821 (or 20818 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 12792392730 in words is "twelve billion, seven hundred ninety-two million, three hundred ninety-two thousand, seven hundred thirty".