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3139472961 = 321929832
BaseRepresentation
bin1011101100100000…
…1000111001000001
322002210110202021100
42323020020321001
522412201113321
61235305445013
7140541036252
oct27310107101
98083422240
103139472961
111371172559
127374a0769
133b0568a11
1421ad50b29
15135944326
hexbb208e41

3139472961 has 27 divisors (see below), whose sum is σ = 4790903169. Its totient is φ = 1980807912.

The previous prime is 3139472927. The next prime is 3139472993. The reversal of 3139472961 is 1692749313.

The square root of 3139472961 is 56031.

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

3139472961 is a `hidden beast` number, since 313 + 9 + 47 + 296 + 1 = 666.

It is not a de Polignac number, because 3139472961 - 217 = 3139341889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3139472911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3193276 + ... + 3194258.

Almost surely, 23139472961 is an apocalyptic number.

3139472961 is the 56031-st square number.

3139472961 is the 28016-th centered octagonal number.

It is an amenable number.

3139472961 is a deficient number, since it is larger than the sum of its proper divisors (1651430208).

3139472961 is an frugal number, since it uses more digits than its factorization.

3139472961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1005 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The cubic root of 3139472961 is about 1464.2624174070.

It can be divided in two parts, 3139 and 472961, that added together give a square (476100 = 6902).

The spelling of 3139472961 in words is "three billion, one hundred thirty-nine million, four hundred seventy-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 19 57 171 361 983 1083 2949 3249 8847 18677 56031 168093 354863 966289 1064589 2898867 3193767 8696601 18359491 55078473 165235419 348830329 1046490987 3139472961