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15107330844225 = 32522591212
BaseRepresentation
bin1101101111010111001100…
…0101101010011001000001
31222111020122212021012020100
43123311303011222121001
53440004303144003400
652044113442033013
73116316512256564
oct333656305523101
958436585235210
1015107330844225
1148a4a8a461424
12183ba9a648769
138577cc742269
143a32ad3b44db
151b2e9a26b100
hexdbd7316a641

15107330844225 has 27 divisors (see below), whose sum is σ = 27059012560489. Its totient is φ = 8057212022400.

The previous prime is 15107330844103. The next prime is 15107330844253. The reversal of 15107330844225 is 52244803370151.

The square root of 15107330844225 is 3886815.

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

15107330844225 is a `hidden beast` number, since 1 + 5 + 10 + 7 + 330 + 84 + 4 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2198342947761 + 12908987896464 = 1482681^2 + 3592908^2 .

It is not a de Polignac number, because 15107330844225 - 221 = 15107328747073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58172665 + ... + 58431785.

Almost surely, 215107330844225 is an apocalyptic number.

15107330844225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15107330844225 is the 3886815-th square number.

15107330844225 is the 1943408-th centered octagonal number.

It is an amenable number.

15107330844225 is a deficient number, since it is larger than the sum of its proper divisors (11951681716264).

15107330844225 is an frugal number, since it uses more digits than its factorization.

15107330844225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518258 (or 259129 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 15107330844225 in words is "fifteen trillion, one hundred seven billion, three hundred thirty million, eight hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 259121 777363 1295605 2332089 3886815 6478025 11660445 19434075 58302225 67143692641 201431077923 335718463205 604293233769 1007155389615 1678592316025 3021466168845 5035776948075 15107330844225