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1372142818225 = 52172137812
BaseRepresentation
bin10011111101111010000…
…101011101001110110001
311212011201222210100002201
4103331322011131032301
5134440122030140400
62530204222343201
7201063656341444
oct23757205351661
94764658710081
101372142818225
11489a16938313
121a1b1ba2ab01
139c51447216a
144a5aa9d565b
1525a5c70a06a
hex13f7a15d3b1

1372142818225 has 27 divisors (see below), whose sum is σ = 1807561364131. Its totient is φ = 1033067859200.

The previous prime is 1372142818213. The next prime is 1372142818231. The reversal of 1372142818225 is 5228182412731.

The square root of 1372142818225 is 1171385.

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

It can be written as a sum of positive squares in 13 ways, for example, as 387173906289 + 984968911936 = 622233^2 + 992456^2 .

It is not a de Polignac number, because 1372142818225 - 213 = 1372142810033 is a prime.

It is a Duffinian number.

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, 99560835 + ... + 99574615.

Almost surely, 21372142818225 is an apocalyptic number.

1372142818225 is the 1171385-th square number.

1372142818225 is the 585693-rd centered octagonal number.

It is an amenable number.

1372142818225 is a deficient number, since it is larger than the sum of its proper divisors (435418545906).

1372142818225 is an frugal number, since it uses more digits than its factorization.

1372142818225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27606 (or 13803 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The spelling of 1372142818225 in words is "one trillion, three hundred seventy-two billion, one hundred forty-two million, eight hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 7225 13781 68905 234277 344525 1171385 3982709 5856925 19913545 99567725 189915961 949579805 3228571337 4747899025 16142856685 54885712729 80714283425 274428563645 1372142818225