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12557728080 = 243452717151
BaseRepresentation
bin10111011000111111…
…11011100101010000
31012102011120200110000
423230133323211100
5201204234244310
65434031410000
7623122633062
oct135437734520
935364520400
1012557728080
115364567a77
122525683900
13125187c741
14871b1d732
154d76dd4c0
hex2ec7fb950

12557728080 has 200 divisors, whose sum is σ = 43781912064. Its totient is φ = 3335904000.

The previous prime is 12557728061. The next prime is 12557728087. The reversal of 12557728080 is 8082775521.

12557728080 is a `hidden beast` number, since 12 + 557 + 7 + 2 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12557728087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1752505 + ... + 1759655.

Almost surely, 212557728080 is an apocalyptic number.

12557728080 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 12557728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890956032).

12557728080 is an abundant number, since it is smaller than the sum of its proper divisors (31224183984).

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

12557728080 is a wasteful number, since it uses less digits than its factorization.

12557728080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 12557728080 in words is "twelve billion, five hundred fifty-seven million, seven hundred twenty-eight thousand, eighty".