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12752816832 = 263273173797
BaseRepresentation
bin10111110000010000…
…01000101011000000
31012220202200012220100
423320020020223000
5202104210114312
65505241042400
7631012104000
oct137010105300
935822605810
1012752816832
1154546a6048
12257aa86400
131283107482
1488d9c4000
154e98c75dc
hex2f8208ac0

12752816832 has 336 divisors, whose sum is σ = 45147585600. Its totient is φ = 3428425728.

The previous prime is 12752816827. The next prime is 12752816851. The reversal of 12752816832 is 23861825721.

It is a tau number, because it is divible by the number of its divisors (336).

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, 3356758 + ... + 3360554.

Almost surely, 212752816832 is an apocalyptic number.

12752816832 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 12752816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22573792800).

12752816832 is an abundant number, since it is smaller than the sum of its proper divisors (32394768768).

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

12752816832 is a wasteful number, since it uses less digits than its factorization.

12752816832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3826 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12752816832 in words is "twelve billion, seven hundred fifty-two million, eight hundred sixteen thousand, eight hundred thirty-two".