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9087618241 = 13273332
BaseRepresentation
bin10000111011010101…
…00000110011000001
3212110022221211122101
420131222200303001
5122102412240431
64101431110401
7441125323552
oct103552406301
925408854571
109087618241
1139437a60a9
121917512401
13b1a97a100
14622d02329
15382c37961
hex21daa0cc1

9087618241 has 9 divisors (see below), whose sum is σ = 9841780809. Its totient is φ = 8387426736.

The previous prime is 9087618187. The next prime is 9087618247. The reversal of 9087618241 is 1428167809.

The square root of 9087618241 is 95329.

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 7169178241 + 1918440000 = 84671^2 + 43800^2 .

It is not a de Polignac number, because 9087618241 - 211 = 9087616193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9087618191 and 9087618200.

It is not an unprimeable number, because it can be changed into a prime (9087618247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1235611 + ... + 1242943.

It is an arithmetic number, because the mean of its divisors is an integer number (1093531201).

Almost surely, 29087618241 is an apocalyptic number.

9087618241 is the 95329-th square number.

9087618241 is the 47665-th centered octagonal number.

It is an amenable number.

9087618241 is a deficient number, since it is larger than the sum of its proper divisors (754162568).

9087618241 is an frugal number, since it uses more digits than its factorization.

9087618241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14692 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The cubic root of 9087618241 is about 2086.8121574999.

The spelling of 9087618241 in words is "nine billion, eighty-seven million, six hundred eighteen thousand, two hundred forty-one".

Divisors: 1 13 169 7333 95329 1239277 53772889 699047557 9087618241