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262145812661 is a prime number
BaseRepresentation
bin1111010000100100011…
…0111010100010110101
3221001122101121001211122
43310021012322202311
513243333312001121
6320232250313325
724640134433205
oct3641106724265
9831571531748
10262145812661
11a11a2528057
1242980128845
131b9494b76a5
14c98b948405
156c4428d5ab
hex3d091ba8b5

262145812661 has 2 divisors, whose sum is σ = 262145812662. Its totient is φ = 262145812660.

The previous prime is 262145812633. The next prime is 262145812673. The reversal of 262145812661 is 166218541262.

262145812661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210580032100 + 51565780561 = 458890^2 + 227081^2 .

It is a cyclic number.

It is not a de Polignac number, because 262145812661 - 222 = 262141618357 is a prime.

It is a super-2 number, since 2×2621458126612 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (262145815661) 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 as a sum of consecutive naturals, namely, 131072906330 + 131072906331.

It is an arithmetic number, because the mean of its divisors is an integer number (131072906331).

Almost surely, 2262145812661 is an apocalyptic number.

It is an amenable number.

262145812661 is a deficient number, since it is larger than the sum of its proper divisors (1).

262145812661 is an equidigital number, since it uses as much as digits as its factorization.

262145812661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 276480, while the sum is 44.

The spelling of 262145812661 in words is "two hundred sixty-two billion, one hundred forty-five million, eight hundred twelve thousand, six hundred sixty-one".