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12553225020 = 22335741107757
BaseRepresentation
bin10111011000011101…
…10000001100111100
31012101212002220102000
423230032300030330
5201202111200040
65433351102300
7623036436450
oct135416601474
935355086360
1012553225020
115361a71836
122524071990
131250963bcb
148712aa660
154d70ee130
hex2ec3b033c

12553225020 has 384 divisors, whose sum is σ = 46210590720. Its totient is φ = 2769500160.

The previous prime is 12553225019. The next prime is 12553225021. The reversal of 12553225020 is 2052235521.

12553225020 is a `hidden beast` number, since 125 + 5 + 32 + 2 + 502 + 0 = 666.

12553225020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12553225019) and next prime (12553225021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553225021) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 16582482 + ... + 16583238.

It is an arithmetic number, because the mean of its divisors is an integer number (120340080).

Almost surely, 212553225020 is an apocalyptic number.

12553225020 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 12553225020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23105295360).

12553225020 is an abundant number, since it is smaller than the sum of its proper divisors (33657365700).

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

12553225020 is a wasteful number, since it uses less digits than its factorization.

12553225020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 12553225020 in words is "twelve billion, five hundred fifty-three million, two hundred twenty-five thousand, twenty".