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12246520896 = 2634292532
BaseRepresentation
bin10110110011111001…
…10001010001000000
31011121110222201110000
423121330301101000
5200040102132041
65343113240000
7612323465361
oct133174612100
934543881400
1012246520896
115214929455
122459403000
13120225978c
1484266db68
154ba218bb6
hex2d9f31440

12246520896 has 315 divisors, whose sum is σ = 38320272991. Its totient is φ = 3867042816.

The previous prime is 12246520777. The next prime is 12246520903. The reversal of 12246520896 is 69802564221.

The square root of 12246520896 is 110664.

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

12246520896 is a `hidden beast` number, since 1 + 2 + 2 + 46 + 520 + 89 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 768398400 + 11478122496 = 27720^2 + 107136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 231066406 + ... + 231066458.

Almost surely, 212246520896 is an apocalyptic number.

12246520896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12246520896 is the 110664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12246520896

12246520896 is an abundant number, since it is smaller than the sum of its proper divisors (26073752095).

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

12246520896 is an frugal number, since it uses more digits than its factorization.

12246520896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12246520896 in words is "twelve billion, two hundred forty-six million, five hundred twenty thousand, eight hundred ninety-six".