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1073534293225 = 5247244092
BaseRepresentation
bin11111001111100111010…
…00010101010011101001
310210121222110011120012201
433213303220111103221
5120042044234340400
62141101433340201
7140363115634402
oct17476350252351
93717873146181
101073534293225
11384313137859
12154084567661
137a3069c8954
1439d605c69a9
151cdd22aa06a
hexf9f3a154e9

1073534293225 has 27 divisors (see below), whose sum is σ = 1360416728197. Its totient is φ = 840363865280.

The previous prime is 1073534293217. The next prime is 1073534293231. The reversal of 1073534293225 is 5223924353701.

It is a happy number.

The square root of 1073534293225 is 1036115.

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 392691475801 + 680842817424 = 626651^2 + 825132^2 .

It is not a de Polignac number, because 1073534293225 - 23 = 1073534293217 is a prime.

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, 243484821 + ... + 243489229.

Almost surely, 21073534293225 is an apocalyptic number.

1073534293225 is the 1036115-th square number.

1073534293225 is the 518058-th centered octagonal number.

It is an amenable number.

1073534293225 is a deficient number, since it is larger than the sum of its proper divisors (286882434972).

1073534293225 is an frugal number, since it uses more digits than its factorization.

1073534293225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8922 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 1073534293225 in words is "one trillion, seventy-three billion, five hundred thirty-four million, two hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 1175 2209 4409 11045 22045 55225 110225 207223 1036115 5180575 9739481 19439281 48697405 97196405 243487025 485982025 913646207 4568231035 22841155175 42941371729 214706858645 1073534293225