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12552797520 = 24325591092711
BaseRepresentation
bin10111011000011010…
…00111110101010000
31012101211022011222200
423230031013311100
5201202004010040
65433334003200
7623033006214
oct135415076520
935354264880
1012552797520
1153617aa62a
122523aa6500
131250844453
148711d8944
154d7067630
hex2ec347d50

12552797520 has 240 divisors, whose sum is σ = 43280265600. Its totient is φ = 3259284480.

The previous prime is 12552797503. The next prime is 12552797539. The reversal of 12552797520 is 2579725521.

12552797520 is a `hidden beast` number, since 1 + 2 + 5 + 52 + 79 + 7 + 520 = 666.

12552797520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4628965 + ... + 4631675.

It is an arithmetic number, because the mean of its divisors is an integer number (180334440).

Almost surely, 212552797520 is an apocalyptic number.

12552797520 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 12552797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21640132800).

12552797520 is an abundant number, since it is smaller than the sum of its proper divisors (30727468080).

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

12552797520 is a wasteful number, since it uses less digits than its factorization.

12552797520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 12552797520 in words is "twelve billion, five hundred fifty-two million, seven hundred ninety-seven thousand, five hundred twenty".