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15993396225 = 325284312
BaseRepresentation
bin11101110010100011…
…11101110000000001
31112021121101201010100
432321101331300001
5230223302134400
611203001553013
71104221424222
oct167121756001
945247351110
1015993396225
116867945334
1231241a5769
13167b5b3481
14aba133249
1563913e100
hex3b947dc01

15993396225 has 27 divisors (see below), whose sum is σ = 28649347779. Its totient is φ = 8528799600.

The previous prime is 15993396143. The next prime is 15993396233. The reversal of 15993396225 is 52269339951.

It is a happy number.

The square root of 15993396225 is 126465.

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

15993396225 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 3 + 3 + 9 + 622 + 5 = 666.

15993396225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5757622641 + 10235773584 = 75879^2 + 101172^2 .

It is a de Polignac number, because none of the positive numbers 2k-15993396225 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1892760 + ... + 1901190.

Almost surely, 215993396225 is an apocalyptic number.

15993396225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15993396225 is the 126465-th square number.

15993396225 is the 63233-rd centered octagonal number.

It is an amenable number.

15993396225 is a deficient number, since it is larger than the sum of its proper divisors (12655951554).

15993396225 is an frugal number, since it uses more digits than its factorization.

15993396225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 8439 counting only the distinct ones).

The product of its digits is 3936600, while the sum is 54.

The spelling of 15993396225 in words is "fifteen billion, nine hundred ninety-three million, three hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 8431 25293 42155 75879 126465 210775 379395 632325 1896975 71081761 213245283 355408805 639735849 1066226415 1777044025 3198679245 5331132075 15993396225