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266013131588281 = 721122118172
BaseRepresentation
bin111100011111000000000010…
…001101101100001010111001
31021212212121101111221221002101
4330133000002031230022321
5234331324343141311111
62341432425014303401
7110013546245526400
oct7437000215541271
91255777344857071
10266013131588281
117783a598919500
1225a03163657b61
13b557c138c252c
14499916616a637
1520b492a870bc1
hexf1f00236c2b9

266013131588281 has 27 divisors (see below), whose sum is σ = 340134098720367. Its totient is φ = 207281981084640.

The previous prime is 266013131588227. The next prime is 266013131588299. The reversal of 266013131588281 is 182885131310662.

It is a happy number.

The square root of 266013131588281 is 16309909.

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., 129404161604025 + 136608969984256 = 11375595^2 + 11687984^2 .

It is not a de Polignac number, because 266013131588281 - 211 = 266013131586233 is a prime.

It is a super-2 number, since 2×2660131315882812 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (266013131588381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1255757085 + ... + 1255968901.

Almost surely, 2266013131588281 is an apocalyptic number.

266013131588281 is the 16309909-th square number.

266013131588281 is the 8154955-th centered octagonal number.

It is an amenable number.

266013131588281 is a deficient number, since it is larger than the sum of its proper divisors (74120967132086).

266013131588281 is an frugal number, since it uses more digits than its factorization.

266013131588281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423670 (or 211835 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 266013131588281 in words is "two hundred sixty-six trillion, thirteen billion, one hundred thirty-one million, five hundred eighty-eight thousand, two hundred eighty-one".

Divisors: 1 7 11 49 77 121 539 847 5929 211817 1482719 2329987 10379033 16309909 25629857 114169363 179408999 1255862993 44866441489 314065090423 493530856379 2198455632961 3454715994653 5428839420169 24183011962571 38001875941183 266013131588281