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31092621561 = 3253211092
BaseRepresentation
bin11100111101010000…
…111100000011111001
32222020220020211101100
4130331100330003321
51002134202342221
622141142442013
72150334631311
oct347520740371
988226224340
1031092621561
1112205a79861
126038a33309
132c16861531
14170d5c6441
15c1ea03926
hex73d43c0f9

31092621561 has 27 divisors (see below), whose sum is σ = 45816254029. Its totient is φ = 20318973792.

The previous prime is 31092621541. The next prime is 31092621569. The reversal of 31092621561 is 16512629013.

The square root of 31092621561 is 176331.

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

31092621561 is a `hidden beast` number, since 3 + 1 + 0 + 92 + 6 + 2 + 1 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5382423225 + 25710198336 = 73365^2 + 160344^2 .

It is not a de Polignac number, because 31092621561 - 211 = 31092619513 is a prime.

It is a super-2 number, since 2×310926215612 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31092621569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28036075 + ... + 28037183.

Almost surely, 231092621561 is an apocalyptic number.

31092621561 is the 176331-st square number.

31092621561 is the 88166-th centered octagonal number.

It is an amenable number.

31092621561 is a deficient number, since it is larger than the sum of its proper divisors (14723632468).

31092621561 is an frugal number, since it uses more digits than its factorization.

31092621561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 31092621561 by its sum of digits (36), we get a square (1119334376196 = 10579862).

It can be divided in two parts, 31092 and 621561, that added together give a triangular number (652653 = T1142).

The spelling of 31092621561 in words is "thirty-one billion, ninety-two million, six hundred twenty-one thousand, five hundred sixty-one".

Divisors: 1 3 9 53 159 477 1109 2809 3327 8427 9981 25281 58777 176331 528993 1229881 3115181 3689643 9345543 11068929 28036629 65183693 195551079 586653237 3454735729 10364207187 31092621561