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19744465225 = 5215721792
BaseRepresentation
bin10010011000110111…
…001010000101001001
31212222000200202102211
4102120313022011021
5310414040341400
613023120225121
71266200120362
oct223067120511
955860622384
1019744465225
118412265a61
1239b046b1a1
131b28777c24
14d543a8b69
157a85e1dba
hex498dca149

19744465225 has 27 divisors (see below), whose sum is σ = 24778496757. Its totient is φ = 15607282080.

The previous prime is 19744465217. The next prime is 19744465229. The reversal of 19744465225 is 52256444791.

The square root of 19744465225 is 140515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2387983689 + 17356481536 = 48867^2 + 131744^2 .

It is not a de Polignac number, because 19744465225 - 23 = 19744465217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19744465229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110304186 + ... + 110304364.

Almost surely, 219744465225 is an apocalyptic number.

19744465225 is the 140515-th square number.

19744465225 is the 70258-th centered octagonal number.

It is an amenable number.

19744465225 is a deficient number, since it is larger than the sum of its proper divisors (5034031532).

19744465225 is an frugal number, since it uses more digits than its factorization.

19744465225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 19744465225 by its sum of digits (49), we get a square (967478796025 = 9836052).

The spelling of 19744465225 in words is "nineteen billion, seven hundred forty-four million, four hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 25 157 179 785 895 3925 4475 24649 28103 32041 123245 140515 160205 616225 702575 801025 4412171 5030437 22060855 25152185 110304275 125760925 789778609 3948893045 19744465225