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2118668841 = 326722292
BaseRepresentation
bin111111001001000…
…0101001000101001
312110122122112021100
41332102011020221
513314334400331
6550122232013
7103334250042
oct17622051051
95418575240
102118668841
11997a2a293
124b1655609
13279c26403
141615498c9
15c6003ae6
hex7e485229

2118668841 has 27 divisors (see below), whose sum is σ = 3120282711. Its totient is φ = 1385288784.

The previous prime is 2118668833. The next prime is 2118668857. The reversal of 2118668841 is 1488668112.

The square root of 2118668841 is 46029.

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., 1973225241 + 145443600 = 44421^2 + 12060^2 .

It is not a de Polignac number, because 2118668841 - 23 = 2118668833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2118668821) 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, 9251715 + ... + 9251943.

Almost surely, 22118668841 is an apocalyptic number.

2118668841 is the 46029-th square number.

2118668841 is the 23015-th centered octagonal number.

It is an amenable number.

2118668841 is a deficient number, since it is larger than the sum of its proper divisors (1001613870).

2118668841 is an frugal number, since it uses more digits than its factorization.

2118668841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 299 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The cubic root of 2118668841 is about 1284.3627257889.

Multiplying 2118668841 by its product of digits (147456), we get a square (312410432618496 = 176751362).

The spelling of 2118668841 in words is "two billion, one hundred eighteen million, six hundred sixty-eight thousand, eight hundred forty-one".

Divisors: 1 3 9 67 201 229 603 687 2061 4489 13467 15343 40401 46029 52441 138087 157323 471969 1027981 3083943 3513547 9251829 10540641 31621923 235407649 706222947 2118668841