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12509975104 = 26112312412
BaseRepresentation
bin10111010011010011…
…10001001001000000
31012021211201120200021
423221221301021000
5201110023200404
65425204103224
7622003014424
oct135151611100
935254646607
1012509975104
11533a611500
122511694b14
131244a00043
1486964cb84
154d3409454
hex2e9a71240

12509975104 has 189 divisors, whose sum is σ = 28899470649. Its totient is φ = 5368704000.

The previous prime is 12509975081. The next prime is 12509975111. The reversal of 12509975104 is 40157990521.

The square root of 12509975104 is 111848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 602800704 + 11907174400 = 24552^2 + 109120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 305121324 + ... + 305121364.

Almost surely, 212509975104 is an apocalyptic number.

12509975104 is the 111848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12509975104

12509975104 is an abundant number, since it is smaller than the sum of its proper divisors (16389495545).

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

12509975104 is an equidigital number, since it uses as much as digits as its factorization.

12509975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 12509975104 in words is "twelve billion, five hundred nine million, nine hundred seventy-five thousand, one hundred four".