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2639952292849 = 79213121572
BaseRepresentation
bin100110011010101001011…
…010110010101111110001
3100100101011210222200001021
4212122221122302233301
5321223110241332344
65340435523335441
7361505323146004
oct46325132625761
910311153880037
102639952292849
11928663278323
12367782821581
13161c3c40c541
1491abac4353b
1548a1055bb84
hex266a96b2bf1

2639952292849 has 27 divisors (see below), whose sum is σ = 2711629677771. Its totient is φ = 2570162559120.

The previous prime is 2639952292829. The next prime is 2639952292871. The reversal of 2639952292849 is 9482922599362.

It is a happy number.

The square root of 2639952292849 is 1624793.

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., 773810512225 + 1866141780624 = 879665^2 + 1366068^2 .

It is not a de Polignac number, because 2639952292849 - 231 = 2637804809201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2639952292829) by changing a digit.

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, 16814982679 + ... + 16814982835.

Almost surely, 22639952292849 is an apocalyptic number.

2639952292849 is the 1624793-rd square number.

2639952292849 is the 812397-th centered octagonal number.

It is an amenable number.

2639952292849 is a deficient number, since it is larger than the sum of its proper divisors (71677384922).

2639952292849 is an frugal number, since it uses more digits than its factorization.

2639952292849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 70.

The spelling of 2639952292849 in words is "two trillion, six hundred thirty-nine billion, nine hundred fifty-two million, two hundred ninety-two thousand, eight hundred forty-nine".

Divisors: 1 79 131 157 6241 10349 12403 17161 20567 24649 817571 979837 1355719 1624793 1947271 2694277 3229019 107101801 128358647 153834409 212847883 255092501 423001489 16814982757 20152307579 33417117631 2639952292849