Search a number
-
+
12529870080 = 2835713231559
BaseRepresentation
bin10111010101101011…
…01010010100000000
31012100020011100110020
423222311222110000
5201130121320310
65431154333440
7622334065320
oct135265522400
935306140406
1012529870080
11534a86a932
12251828a280
131248b77710
1486c14b280
154d5039170
hex2ead6a500

12529870080 has 576 divisors, whose sum is σ = 51426385920. Its totient is φ = 2527100928.

The previous prime is 12529870039. The next prime is 12529870099. The reversal of 12529870080 is 8007892521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8036341 + ... + 8037899.

It is an arithmetic number, because the mean of its divisors is an integer number (89281920).

Almost surely, 212529870080 is an apocalyptic number.

12529870080 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 12529870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25713192960).

12529870080 is an abundant number, since it is smaller than the sum of its proper divisors (38896515840).

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

12529870080 is a wasteful number, since it uses less digits than its factorization.

12529870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 12529870080 in words is "twelve billion, five hundred twenty-nine million, eight hundred seventy thousand, eighty".