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828146829431 is a prime number
BaseRepresentation
bin11000000110100010110…
…01011100100001110111
32221011120222100211020202
430003101121130201313
5102032021042020211
61432240112351115
7113555151622145
oct14032131344167
92834528324222
10828146829431
1129a2403282a9
1211460084549b
136012b42612c
142c122616595
151681e3ad53b
hexc0d165c877

828146829431 has 2 divisors, whose sum is σ = 828146829432. Its totient is φ = 828146829430.

The previous prime is 828146829373. The next prime is 828146829449. The reversal of 828146829431 is 134928641828.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 828146829431 - 234 = 810966960247 is a prime.

It is a super-2 number, since 2×8281468294312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (828146829451) 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, 414073414715 + 414073414716.

It is an arithmetic number, because the mean of its divisors is an integer number (414073414716).

Almost surely, 2828146829431 is an apocalyptic number.

828146829431 is a deficient number, since it is larger than the sum of its proper divisors (1).

828146829431 is an equidigital number, since it uses as much as digits as its factorization.

828146829431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5308416, while the sum is 56.

The spelling of 828146829431 in words is "eight hundred twenty-eight billion, one hundred forty-six million, eight hundred twenty-nine thousand, four hundred thirty-one".