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2631997809 = 32743492
BaseRepresentation
bin1001110011100001…
…0001100101110001
320210102120100020100
42130320101211301
520342242412214
61113100503013
7122136420000
oct23470214561
96712510210
102631997809
11113076aa01
1261554aa69
1332c39736c
141ad7b0c37
15106101309
hex9ce11971

2631997809 has 45 divisors (see below), whose sum is σ = 4447884363. Its totient is φ = 1499689296.

The previous prime is 2631997759. The next prime is 2631997843. The reversal of 2631997809 is 9087991362.

The square root of 2631997809 is 51303.

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., 1931866209 + 700131600 = 43953^2 + 26460^2 .

It is not a de Polignac number, because 2631997809 - 221 = 2629900657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2631997859) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7541367 + ... + 7541715.

Almost surely, 22631997809 is an apocalyptic number.

2631997809 is the 51303-rd square number.

2631997809 is the 25652-nd centered octagonal number.

It is an amenable number.

2631997809 is a deficient number, since it is larger than the sum of its proper divisors (1815886554).

2631997809 is an frugal number, since it uses more digits than its factorization.

2631997809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The cubic root of 2631997809 is about 1380.6868052636.

The spelling of 2631997809 in words is "two billion, six hundred thirty-one million, nine hundred ninety-seven thousand, eight hundred nine".

Divisors: 1 3 7 9 21 49 63 147 343 349 441 1029 1047 2401 2443 3087 3141 7203 7329 17101 21609 21987 51303 119707 121801 153909 359121 365403 837949 852607 1077363 1096209 2513847 2557821 5968249 7541541 7673463 17904747 41777743 53714241 125333229 292444201 375999687 877332603 2631997809