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19364114025 = 325292772
BaseRepresentation
bin10010000010001100…
…001110111001101001
31211222111222220200100
4102002030032321221
5304124203122100
612521252100013
71253601152634
oct220214167151
954874886610
1019364114025
1182375a0523
123905004609
131a97a25c49
14d19a7ac1b
15785010400
hex48230ee69

19364114025 has 27 divisors (see below), whose sum is σ = 34687018821. Its totient is φ = 10326414240.

The previous prime is 19364114017. The next prime is 19364114083. The reversal of 19364114025 is 52041146391.

It is a happy number.

The square root of 19364114025 is 139155.

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

19364114025 is a `hidden beast` number, since 1 + 9 + 3 + 641 + 1 + 4 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 794056041 + 18570057984 = 28179^2 + 136272^2 .

It is not a de Polignac number, because 19364114025 - 23 = 19364114017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2082687 + ... + 2091963.

Almost surely, 219364114025 is an apocalyptic number.

19364114025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19364114025 is the 139155-th square number.

19364114025 is the 69578-th centered octagonal number.

It is an amenable number.

19364114025 is a deficient number, since it is larger than the sum of its proper divisors (15322904796).

19364114025 is an frugal number, since it uses more digits than its factorization.

19364114025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18570 (or 9285 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 19364114025 by its sum of digits (36), we get a square (697108104900 = 8349302).

The spelling of 19364114025 in words is "nineteen billion, three hundred sixty-four million, one hundred fourteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9277 27831 46385 83493 139155 231925 417465 695775 2087325 86062729 258188187 430313645 774564561 1290940935 2151568225 3872822805 6454704675 19364114025