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3731132889 = 341126172
BaseRepresentation
bin1101111001100100…
…1001000111011001
3100122000210012010000
43132121021013121
530120132223024
61414123043213
7161314051311
oct33631110731
910560705100
103731132889
111645144400
12881670509
13476004453
14275766441
1516c865cc9
hexde6491d9

3731132889 has 45 divisors (see below), whose sum is σ = 6136373551. Its totient is φ = 2257627680.

The previous prime is 3731132869. The next prime is 3731132891. The reversal of 3731132889 is 9882311373.

It is a happy number.

The square root of 3731132889 is 61083.

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

3731132889 is a `hidden beast` number, since 3 + 7 + 311 + 328 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 3623076864 = 10395^2 + 60192^2 .

It is not a de Polignac number, because 3731132889 - 27 = 3731132761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3731132869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6046909 + ... + 6047525.

Almost surely, 23731132889 is an apocalyptic number.

3731132889 is the 61083-rd square number.

3731132889 is the 30542-nd centered octagonal number.

It is an amenable number.

3731132889 is a deficient number, since it is larger than the sum of its proper divisors (2405240662).

3731132889 is an frugal number, since it uses more digits than its factorization.

3731132889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 631 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The cubic root of 3731132889 is about 1551.0063376835.

The spelling of 3731132889 in words is "three billion, seven hundred thirty-one million, one hundred thirty-two thousand, eight hundred eighty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 617 891 1089 1851 3267 5553 6787 9801 16659 20361 49977 61083 74657 183249 223971 380689 549747 671913 1142067 2015739 3426201 4187579 6047217 10278603 12562737 30835809 37688211 46063369 113064633 138190107 339193899 414570321 1243710963 3731132889