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12774039552 = 213372331
BaseRepresentation
bin10111110010110010…
…00110000000000000
31012222020121110000000
423321121012000000
5202130123231202
65511320000000
7631360354551
oct137131060000
935866543000
1012774039552
115465680a8a
122586000000
1312876282b1
1489274a328
154eb6ba91c
hex2f9646000

12774039552 has 448 divisors, whose sum is σ = 41269432320. Its totient is φ = 3941498880.

The previous prime is 12774039527. The next prime is 12774039557. The reversal of 12774039552 is 25593047721.

It is a happy number.

12774039552 is a `hidden beast` number, since 1 + 27 + 7 + 40 + 39 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12774039498 and 12774039507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12774039557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412065777 + ... + 412065807.

Almost surely, 212774039552 is an apocalyptic number.

12774039552 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 12774039552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20634716160).

12774039552 is an abundant number, since it is smaller than the sum of its proper divisors (28495392768).

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

12774039552 is an frugal number, since it uses more digits than its factorization.

12774039552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 12774039552 in words is "twelve billion, seven hundred seventy-four million, thirty-nine thousand, five hundred fifty-two".