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12495200256 = 213327113171
BaseRepresentation
bin10111010001100010…
…11010000000000000
31012020210220221101200
423220301122000000
5201042232402011
65423515301200
7621433310160
oct135061320000
935223827350
1012495200256
11533223a990
12250874a800
131241929026
148676c45a0
154d1e8b856
hex2e8c5a000

12495200256 has 672 divisors, whose sum is σ = 47107547136. Its totient is φ = 3096576000.

The previous prime is 12495200251. The next prime is 12495200269. The reversal of 12495200256 is 65200259421.

12495200256 is a `hidden beast` number, since 124 + 9 + 520 + 0 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×124952002562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12495200256.

It is not an unprimeable number, because it can be changed into a prime (12495200251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175988701 + ... + 175988771.

Almost surely, 212495200256 is an apocalyptic number.

12495200256 is a gapful number since it is divisible by the number (16) 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 12495200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23553773568).

12495200256 is an abundant number, since it is smaller than the sum of its proper divisors (34612346880).

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

12495200256 is a wasteful number, since it uses less digits than its factorization.

12495200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 12495200256 its reverse (65200259421), we get a palindrome (77695459677).

The spelling of 12495200256 in words is "twelve billion, four hundred ninety-five million, two hundred thousand, two hundred fifty-six".