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12575799504 = 2434172572221
BaseRepresentation
bin10111011011001001…
…10111100011010000
31012110102120210210000
423231210313203100
5201223401041004
65435515010000
7623432350332
oct135544674320
935412523700
1012575799504
115373790334
12252b739900
1312555390a8
148742a5452
154d90acc39
hex2ed9378d0

12575799504 has 200 divisors, whose sum is σ = 38706448968. Its totient is φ = 3928227840.

The previous prime is 12575799499. The next prime is 12575799529. The reversal of 12575799504 is 40599757521.

It is a happy number.

12575799504 is a `hidden beast` number, since 12 + 5 + 7 + 579 + 9 + 50 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8460320400 + 4115479104 = 91980^2 + 64152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5661114 + ... + 5663334.

Almost surely, 212575799504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12575799504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353224484).

12575799504 is an abundant number, since it is smaller than the sum of its proper divisors (26130649464).

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

12575799504 is a wasteful number, since it uses less digits than its factorization.

12575799504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 12575799504 in words is "twelve billion, five hundred seventy-five million, seven hundred ninety-nine thousand, five hundred four".