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12978148581 = 329671491227
BaseRepresentation
bin11000001011000111…
…01101010011100101
31020111110200020221200
430011203231103211
5203034401223311
65543450433113
7636416304606
oct140543552345
936443606850
1012978148581
11555a910132
122622432799
1312ba9c0978
148b18bbdad
1550e587556
hex3058ed4e5

12978148581 has 12 divisors (see below), whose sum is σ = 18765613152. Its totient is φ = 8643145896.

The previous prime is 12978148571. The next prime is 12978148583. The reversal of 12978148581 is 18584187921.

12978148581 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 81 + 485 + 81 = 666.

12978148581 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12978148581 - 29 = 12978148069 is a prime.

It is a super-2 number, since 2×129781485812 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978148583) 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 11 ways as a sum of consecutive naturals, for example, 736911 + ... + 754316.

It is an arithmetic number, because the mean of its divisors is an integer number (1563801096).

Almost surely, 212978148581 is an apocalyptic number.

It is an amenable number.

12978148581 is a deficient number, since it is larger than the sum of its proper divisors (5787464571).

12978148581 is a wasteful number, since it uses less digits than its factorization.

12978148581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492200 (or 1492197 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 54.

The spelling of 12978148581 in words is "twelve billion, nine hundred seventy-eight million, one hundred forty-eight thousand, five hundred eighty-one".

Divisors: 1 3 9 967 2901 8703 1491227 4473681 13421043 1442016509 4326049527 12978148581