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12824864052 = 223711213312101
BaseRepresentation
bin10111111000110101…
…11110010100110100
31020002210020121002220
423330122332110310
5202231131122202
65520333202340
7632545355130
oct137432762464
936083217086
1012824864052
115491335200
12259b0303b0
131295011a70
148993ba3c0
15500da9abc
hex2fc6be534

12824864052 has 432 divisors, whose sum is σ = 42245175168. Its totient is φ = 2946240000.

The previous prime is 12824864033. The next prime is 12824864057. The reversal of 12824864052 is 25046842821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12824863995 and 12824864013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824864057) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126978802 + ... + 126978902.

Almost surely, 212824864052 is an apocalyptic number.

12824864052 is a gapful number since it is divisible by the number (12) 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 12824864052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21122587584).

12824864052 is an abundant number, since it is smaller than the sum of its proper divisors (29420311116).

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

12824864052 is a wasteful number, since it uses less digits than its factorization.

12824864052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 12824864052 in words is "twelve billion, eight hundred twenty-four million, eight hundred sixty-four thousand, fifty-two".