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264668062681 = 112467692
BaseRepresentation
bin1111011001111101110…
…0100010001111011001
3221022011011122122102001
43312133130202033121
513314020011001211
6321330431041001
725056502261621
oct3663734421731
9838134578361
10264668062681
11a2277248900
1243364970161
131bc5bc07419
14cb4a90b881
156d40911ac1
hex3d9f7223d9

264668062681 has 9 divisors (see below), whose sum is σ = 290922355423. Its totient is φ = 240602185120.

The previous prime is 264668062661. The next prime is 264668062693. The reversal of 264668062681 is 186260866462.

The square root of 264668062681 is 514459.

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., 56877957081 + 207790105600 = 238491^2 + 455840^2 .

It is not a de Polignac number, because 264668062681 - 237 = 127229109209 is a prime.

It is a super-2 number, since 2×2646680626812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264668062621) 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 8 ways as a sum of consecutive naturals, for example, 5635665 + ... + 5682433.

Almost surely, 2264668062681 is an apocalyptic number.

264668062681 is the 514459-th square number.

264668062681 is the 257230-th centered octagonal number.

It is an amenable number.

264668062681 is a deficient number, since it is larger than the sum of its proper divisors (26254292742).

264668062681 is an frugal number, since it uses more digits than its factorization.

264668062681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93560 (or 46780 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 264668062681 in words is "two hundred sixty-four billion, six hundred sixty-eight million, sixty-two thousand, six hundred eighty-one".

Divisors: 1 11 121 46769 514459 5659049 2187339361 24060732971 264668062681