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12503115520 = 285753113233
BaseRepresentation
bin10111010010011111…
…00110011100000000
31012021100211002002121
423221033212130000
5201101244144040
65424401054024
7621560504560
oct135117463400
935240732077
1012503115520
115336756825
12250b327314
13124346aa0c
14868784da0
154d2a01c4a
hex2e93e6700

12503115520 has 288 divisors, whose sum is σ = 35332682112. Its totient is φ = 4150788096.

The previous prime is 12503115503. The next prime is 12503115551. The reversal of 12503115520 is 2551130521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53661324 + ... + 53661556.

It is an arithmetic number, because the mean of its divisors is an integer number (122682924).

Almost surely, 212503115520 is an apocalyptic number.

12503115520 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 12503115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666341056).

12503115520 is an abundant number, since it is smaller than the sum of its proper divisors (22829566592).

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

12503115520 is a wasteful number, since it uses less digits than its factorization.

12503115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 12503115520 in words is "twelve billion, five hundred three million, one hundred fifteen thousand, five hundred twenty".