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12774424576 = 2148832
BaseRepresentation
bin10111110010110101…
…00100000000000000
31012222021100000011011
423321122210000000
5202130223041301
65511332130304
7631363550224
oct137132440000
935867300134
1012774424576
115465914291
122586166994
131287731614
1489280a784
154eb744a51
hex2f96a4000

12774424576 has 45 divisors (see below), whose sum is σ = 25577035491. Its totient is φ = 6379978752.

The previous prime is 12774424561. The next prime is 12774424577. The reversal of 12774424576 is 67542447721.

The square root of 12774424576 is 113024.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12774424577) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14466631 + ... + 14467513.

Almost surely, 212774424576 is an apocalyptic number.

12774424576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12774424576 is the 113024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12774424576

12774424576 is an abundant number, since it is smaller than the sum of its proper divisors (12802610915).

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

12774424576 is an frugal number, since it uses more digits than its factorization.

12774424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 885 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 49.

Multiplying 12774424576 by its sum of digits (49), we get a square (625946804224 = 7911682).

The spelling of 12774424576 in words is "twelve billion, seven hundred seventy-four million, four hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 883 1024 1766 2048 3532 4096 7064 8192 14128 16384 28256 56512 113024 226048 452096 779689 904192 1559378 1808384 3118756 3616768 6237512 7233536 12475024 14467072 24950048 49900096 99800192 199600384 399200768 798401536 1596803072 3193606144 6387212288 12774424576