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1829886310481 is a prime number
BaseRepresentation
bin11010101000001101101…
…110010011100001010001
320110221020220221001010212
4122220031232103201101
5214440101343413411
63520345502133505
7246130201000415
oct32501556234121
96427226831125
101829886310481
11646061132039
12256789281295
13103732bb27a8
14647d1aa0d45
15328ed6c668b
hex1aa0db93851

1829886310481 has 2 divisors, whose sum is σ = 1829886310482. Its totient is φ = 1829886310480.

The previous prime is 1829886310397. The next prime is 1829886310537. The reversal of 1829886310481 is 1840136889281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1730435011600 + 99451298881 = 1315460^2 + 315359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1829886310481 is a prime.

It is a super-2 number, since 2×18298863104812 (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 1829886310481.

It is not a weakly prime, because it can be changed into another prime (1829886310081) 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, 914943155240 + 914943155241.

It is an arithmetic number, because the mean of its divisors is an integer number (914943155241).

Almost surely, 21829886310481 is an apocalyptic number.

It is an amenable number.

1829886310481 is a deficient number, since it is larger than the sum of its proper divisors (1).

1829886310481 is an equidigital number, since it uses as much as digits as its factorization.

1829886310481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5308416, while the sum is 59.

The spelling of 1829886310481 in words is "one trillion, eight hundred twenty-nine billion, eight hundred eighty-six million, three hundred ten thousand, four hundred eighty-one".