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2117748361 = 17227072
BaseRepresentation
bin111111000111010…
…0100011010001001
312110120220202121111
41332032210122021
513314120421421
6550050410321
7103323364321
oct17616443211
95416822544
102117748361
11997460763
124b12909a1
13279993451
1416138a281
15c5dc0ee1
hex7e3a4689

2117748361 has 9 divisors (see below), whose sum is σ = 2250480999. Its totient is φ = 1992438624.

The previous prime is 2117748349. The next prime is 2117748389. The reversal of 2117748361 is 1638477112.

It is a happy number.

The square root of 2117748361 is 46019.

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

It can be written as a sum of positive squares in only one way, i.e., 1648766025 + 468982336 = 40605^2 + 21656^2 .

It is not a de Polignac number, because 2117748361 - 225 = 2084193929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2117745361) 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, 780970 + ... + 783676.

Almost surely, 22117748361 is an apocalyptic number.

2117748361 is the 46019-th square number.

2117748361 is the 23010-th centered octagonal number.

It is an amenable number.

2117748361 is a deficient number, since it is larger than the sum of its proper divisors (132732638).

2117748361 is an frugal number, since it uses more digits than its factorization.

2117748361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 2724 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The cubic root of 2117748361 is about 1284.1766968020.

The spelling of 2117748361 in words is "two billion, one hundred seventeen million, seven hundred forty-eight thousand, three hundred sixty-one".

Divisors: 1 17 289 2707 46019 782323 7327849 124573433 2117748361