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12389039050752 = 21234721331261
BaseRepresentation
bin1011010001001000110001…
…0001011001000000000000
31121212101021102200120010000
42310102030101121000000
53110440222444111002
642203240155040000
72416035636253200
oct264221421310000
947771242616100
1012389039050752
113a47186620861
1214810b4140000
136bb387227030
1430b8c0158400
151674023e061c
hexb448c459000

12389039050752 has 2340 divisors, whose sum is σ = 48692954381148. Its totient is φ = 3110200934400.

The previous prime is 12389039050667. The next prime is 12389039050763. The reversal of 12389039050752 is 25705093098321.

12389039050752 is a `hidden beast` number, since 1 + 2 + 3 + 89 + 0 + 3 + 9 + 0 + 507 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 999872004096 + 11389167046656 = 999936^2 + 3374784^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 203099000802 + ... + 203099000862.

Almost surely, 212389039050752 is an apocalyptic number.

12389039050752 is a gapful number since it is divisible by the number (12) 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 12389039050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24346477190574).

12389039050752 is an abundant number, since it is smaller than the sum of its proper divisors (36303915330396).

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

12389039050752 is an equidigital number, since it uses as much as digits as its factorization.

12389039050752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 12389039050752 in words is "twelve trillion, three hundred eighty-nine billion, thirty-nine million, fifty thousand, seven hundred fifty-two".