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12530344176 = 2432789197709
BaseRepresentation
bin10111010101101110…
…11110000011110000
31012100021001102210100
423222313132003300
5201130232003201
65431212432400
7622341111450
oct135267360360
935307042710
1012530344176
115350064049
122518478700
131248cb244c
1486c231d60
154d50ce886
hex2eadde0f0

12530344176 has 240 divisors, whose sum is σ = 40790692800. Its totient is φ = 3516936192.

The previous prime is 12530344153. The next prime is 12530344199. The reversal of 12530344176 is 67144303521.

12530344176 is a `hidden beast` number, since 12 + 530 + 3 + 4 + 41 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (12530344153) and next prime (12530344199).

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 12530344176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17672910 + ... + 17673618.

It is an arithmetic number, because the mean of its divisors is an integer number (169961220).

Almost surely, 212530344176 is an apocalyptic number.

12530344176 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 12530344176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20395346400).

12530344176 is an abundant number, since it is smaller than the sum of its proper divisors (28260348624).

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

12530344176 is a wasteful number, since it uses less digits than its factorization.

12530344176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 12530344176 its reverse (67144303521), we get a palindrome (79674647697).

The spelling of 12530344176 in words is "twelve billion, five hundred thirty million, three hundred forty-four thousand, one hundred seventy-six".