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12823369848 = 233419789151
BaseRepresentation
bin10111111000101010…
…10001100001111000
31020002200102200110000
423330111101201320
5202230240313343
65520241153000
7632526562632
oct137425214170
936080380400
1012823369848
115490504623
12259a62b760
13129490a913
1489910ba52
15500bb1ed3
hex2fc551878

12823369848 has 40 divisors (see below), whose sum is σ = 35917310880. Its totient is φ = 4274456400.

The previous prime is 12823369799. The next prime is 12823369891. The reversal of 12823369848 is 84896332821.

12823369848 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 (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12823369794 and 12823369803.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 9893928 + ... + 9895223.

It is an arithmetic number, because the mean of its divisors is an integer number (897932772).

Almost surely, 212823369848 is an apocalyptic number.

12823369848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12823369848 is an abundant number, since it is smaller than the sum of its proper divisors (23093941032).

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

12823369848 is a wasteful number, since it uses less digits than its factorization.

12823369848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19789169 (or 19789156 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 12823369848 in words is "twelve billion, eight hundred twenty-three million, three hundred sixty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 19789151 39578302 59367453 79156604 118734906 158313208 178102359 237469812 356204718 474939624 534307077 712409436 1068614154 1424818872 1602921231 2137228308 3205842462 4274456616 6411684924 12823369848