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12974944752 = 24327112940351
BaseRepresentation
bin11000001010101110…
…11111000111110000
31020111020122111010100
430011113133013300
5203033041213002
65543254032400
7636350132160
oct140527370760
936436574110
1012974944752
115559022040
122621348700
1312ba13b603
148b12c65a0
1550e15311c
hex3055df1f0

12974944752 has 240 divisors, whose sum is σ = 46834145280. Its totient is φ = 3253824000.

The previous prime is 12974944733. The next prime is 12974944783. The reversal of 12974944752 is 25744947921.

12974944752 is a `hidden beast` number, since 12 + 9 + 74 + 94 + 475 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301377 + ... + 341727.

It is an arithmetic number, because the mean of its divisors is an integer number (195142272).

Almost surely, 212974944752 is an apocalyptic number.

12974944752 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 12974944752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417072640).

12974944752 is an abundant number, since it is smaller than the sum of its proper divisors (33859200528).

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

12974944752 is a wasteful number, since it uses less digits than its factorization.

12974944752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40412 (or 40403 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 12974944752 in words is "twelve billion, nine hundred seventy-four million, nine hundred forty-four thousand, seven hundred fifty-two".