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12926412190224 = 243213219212132
BaseRepresentation
bin1011110000011010101000…
…1101001111001000010000
31200202202022220001110122100
42330012222031033020100
53143241243010041344
643254151202240400
72502621354501051
oct274065215171020
950682286043570
1012926412190224
114134073766085
121549285356100
13729c5613b400
143298dab14728
151763a40c1569
hexbc1aa34f210

12926412190224 has 405 divisors, whose sum is σ = 41377180517127. Its totient is φ = 3764916619776.

The previous prime is 12926412190213. The next prime is 12926412190229. The reversal of 12926412190224 is 42209121462921.

The square root of 12926412190224 is 3595332.

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

12926412190224 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 6 + 412 + 1 + 9 + 0 + 224 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8827245060624 + 4099167129600 = 2971068^2 + 2024640^2 .

It is a super-2 number, since 2×129264121902242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12926412190224.

It is not an unprimeable number, because it can be changed into a prime (12926412190229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10656563442 + ... + 10656564654.

Almost surely, 212926412190224 is an apocalyptic number.

12926412190224 is the 3595332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12926412190224

12926412190224 is an abundant number, since it is smaller than the sum of its proper divisors (28450768326903).

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

12926412190224 is a wasteful number, since it uses less digits than its factorization.

12926412190224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12926412190224 in words is "twelve trillion, nine hundred twenty-six billion, four hundred twelve million, one hundred ninety thousand, two hundred twenty-four".