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12928930560 = 283357134111
BaseRepresentation
bin11000000101001111…
…11101001100000000
31020101001001201112000
430002213331030000
5202434301234220
65534531504000
7635251045050
oct140247751400
936331051460
1012928930560
115535053987
122609a58000
1312b074a490
148a9149560
1550a0b4390
hex3029fd300

12928930560 has 576 divisors, whose sum is σ = 56481116160. Its totient is φ = 2727198720.

The previous prime is 12928930519. The next prime is 12928930577. The reversal of 12928930560 is 6503982921.

12928930560 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 89 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 3142905 + ... + 3147015.

Almost surely, 212928930560 is an apocalyptic number.

12928930560 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 12928930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28240558080).

12928930560 is an abundant number, since it is smaller than the sum of its proper divisors (43552185600).

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

12928930560 is a wasteful number, since it uses less digits than its factorization.

12928930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12928930560 in words is "twelve billion, nine hundred twenty-eight million, nine hundred thirty thousand, five hundred sixty".