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12856867520 = 265723614091
BaseRepresentation
bin10111111100101010…
…00011101011000000
31020012000110112121112
423332111003223000
5202312324230040
65523435142452
7633414366530
oct137625035300
936160415545
1012856867520
1154a8403952
1225a98a4a28
13129b838923
1489d74b4c0
15503acc365
hex2fe543ac0

12856867520 has 224 divisors, whose sum is σ = 37117910016. Its totient is φ = 4146278400.

The previous prime is 12856867519. The next prime is 12856867523. The reversal of 12856867520 is 2576865821.

12856867520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12856867523) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3140675 + ... + 3144765.

Almost surely, 212856867520 is an apocalyptic number.

12856867520 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 12856867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18558955008).

12856867520 is an abundant number, since it is smaller than the sum of its proper divisors (24261042496).

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

12856867520 is a wasteful number, since it uses less digits than its factorization.

12856867520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4199 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The spelling of 12856867520 in words is "twelve billion, eight hundred fifty-six million, eight hundred sixty-seven thousand, five hundred twenty".