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12981265044 = 2231119231391619
BaseRepresentation
bin11000001011011111…
…00110001010010100
31020111200112120221020
430011233212022110
5203041200440134
65544041321140
7636454634526
oct140557461224
936450476836
1012981265044
115561649620
1226234961b0
1312bb542327
148b208da16
1550e9a0b49
hex305be6294

12981265044 has 192 divisors, whose sum is σ = 36578304000. Its totient is φ = 3536818560.

The previous prime is 12981265007. The next prime is 12981265117. The reversal of 12981265044 is 44056218921.

It is a junction number, because it is equal to n+sod(n) for n = 12981264987 and 12981265005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8017267 + ... + 8018885.

It is an arithmetic number, because the mean of its divisors is an integer number (190512000).

Almost surely, 212981265044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12981265044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152000).

12981265044 is an abundant number, since it is smaller than the sum of its proper divisors (23597038956).

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

12981265044 is a wasteful number, since it uses less digits than its factorization.

12981265044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 12981265044 in words is "twelve billion, nine hundred eighty-one million, two hundred sixty-five thousand, forty-four".