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827642276231 is a prime number
BaseRepresentation
bin11000000101100110101…
…00101110100110000111
32221010021210221212101012
430002303110232212013
5102030002410314411
61432114050152435
7113536514162441
oct14026324564607
92833253855335
10827642276231
1129a001540a91
1211449b88271b
136007aa38744
142c0b55d7491
15167dee4618b
hexc0b352e987

827642276231 has 2 divisors, whose sum is σ = 827642276232. Its totient is φ = 827642276230.

The previous prime is 827642276213. The next prime is 827642276323. The reversal of 827642276231 is 132672246728.

Together with previous prime (827642276213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-827642276231 is a prime.

It is a super-2 number, since 2×8276422762312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 827642276231.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827642276731) 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, 413821138115 + 413821138116.

It is an arithmetic number, because the mean of its divisors is an integer number (413821138116).

Almost surely, 2827642276231 is an apocalyptic number.

827642276231 is a deficient number, since it is larger than the sum of its proper divisors (1).

827642276231 is an equidigital number, since it uses as much as digits as its factorization.

827642276231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2709504, while the sum is 50.

The spelling of 827642276231 in words is "eight hundred twenty-seven billion, six hundred forty-two million, two hundred seventy-six thousand, two hundred thirty-one".