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5731537647969 = 36725322392
BaseRepresentation
bin101001101100111101001…
…0000111111100101100001
3202021221002201021001000000
41103121322100333211201
51222401142114213334
620105010531050213
71131042563113200
oct123317220774541
922257081231000
105731537647969
11190a805643931
12786988440969
1332763533a663
1415b59d3d9237
159e1553d7299
hex5367a43f961

5731537647969 has 189 divisors, whose sum is σ = 10231353253443. Its totient is φ = 3199923758304.

The previous prime is 5731537647967. The next prime is 5731537648013. The reversal of 5731537647969 is 9697467351375.

The square root of 5731537647969 is 2394063.

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

5731537647969 is a `hidden beast` number, since 5 + 7 + 31 + 53 + 76 + 479 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4131848963025 + 1599688684944 = 2032695^2 + 1264788^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 5731537647969 - 21 = 5731537647967 is a prime.

It is a super-2 number, since 2×57315376479692 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5731537647897 and 5731537647906.

It is not an unprimeable number, because it can be changed into a prime (5731537647967) 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 188 ways as a sum of consecutive naturals, for example, 23981328952 + ... + 23981329190.

Almost surely, 25731537647969 is an apocalyptic number.

5731537647969 is the 2394063-rd square number.

5731537647969 is the 1197032-nd centered octagonal number.

It is an amenable number.

5731537647969 is a deficient number, since it is larger than the sum of its proper divisors (4499815605474).

5731537647969 is an frugal number, since it uses more digits than its factorization.

5731537647969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 302 counting only the distinct ones).

The product of its digits is 900169200, while the sum is 72.

The spelling of 5731537647969 in words is "five trillion, seven hundred thirty-one billion, five hundred thirty-seven million, six hundred forty-seven thousand, nine hundred sixty-nine".