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12457580652 = 22381123923
BaseRepresentation
bin10111001101000011…
…11001100001101100
31012011012010200000000
423212201321201230
5201003120040102
65420053104300
7620465455056
oct134641714154
935135120000
1012457580652
115312a85800
1224b8028090
131236bb6aca
148626d08d6
154cda0a01c
hex2e687986c

12457580652 has 162 divisors, whose sum is σ = 35951574204. Its totient is φ = 3774062160.

The previous prime is 12457580647. The next prime is 12457580657. The reversal of 12457580652 is 25608575421.

12457580652 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 7 + 580 + 65 + 2 = 666.

12457580652 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 (12457580647) and next prime (12457580657).

It is a tau number, because it is divible by the number of its divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 12457580598 and 12457580607.

It is not an unprimeable number, because it can be changed into a prime (12457580657) 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 53 ways as a sum of consecutive naturals, for example, 3173563 + ... + 3177485.

Almost surely, 212457580652 is an apocalyptic number.

12457580652 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 12457580652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17975787102).

12457580652 is an abundant number, since it is smaller than the sum of its proper divisors (23493993552).

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

12457580652 is an equidigital number, since it uses as much as digits as its factorization.

12457580652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 12457580652 in words is "twelve billion, four hundred fifty-seven million, five hundred eighty thousand, six hundred fifty-two".