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15980752225 = 5213121932
BaseRepresentation
bin11101110001000011…
…01110110101100001
31112020201121022211001
432320201232311201
5230212033032400
611201430552001
71104006103234
oct167041566541
945221538731
1015980752225
116860799749
12311bb08601
131678aa7309
14ab85a141b
15637e92a6a
hex3b886ed61

15980752225 has 27 divisors (see below), whose sum is σ = 20072555769. Its totient is φ = 12621273600.

The previous prime is 15980752223. The next prime is 15980752241. The reversal of 15980752225 is 52225708951.

The square root of 15980752225 is 126415.

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 2570185809 + 13410566416 = 50697^2 + 115804^2 .

It is not a de Polignac number, because 15980752225 - 21 = 15980752223 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15980752223) 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, 82801729 + ... + 82801921.

Almost surely, 215980752225 is an apocalyptic number.

15980752225 is the 126415-th square number.

15980752225 is the 63208-th centered octagonal number.

It is an amenable number.

15980752225 is a deficient number, since it is larger than the sum of its proper divisors (4091803544).

15980752225 is an frugal number, since it uses more digits than its factorization.

15980752225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 15980752225 in words is "fifteen billion, nine hundred eighty million, seven hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 131 193 655 965 3275 4825 17161 25283 37249 85805 126415 186245 429025 632075 931225 3312073 4879619 16560365 24398095 82801825 121990475 639230089 3196150445 15980752225