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821215480146 = 23433183005737
BaseRepresentation
bin10111111001101000100…
…00011100100101010010
32220111200220210210112120
423330310100130211102
5101423322130331041
61425132225435110
7113221325256555
oct13746420344522
92814626723476
10821215480146
11297303802a66
121131a749ba96
135c595408819
142ba65c4a69c
1516565b05366
hexbf3441c952

821215480146 has 16 divisors (see below), whose sum is σ = 1680627029664. Its totient is φ = 267372481824.

The previous prime is 821215480097. The next prime is 821215480147. The reversal of 821215480146 is 641084512128.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 821215480098 and 821215480107.

It is not an unprimeable number, because it can be changed into a prime (821215480147) 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 in 7 ways as a sum of consecutive naturals, for example, 1591502611 + ... + 1591503126.

It is an arithmetic number, because the mean of its divisors is an integer number (105039189354).

Almost surely, 2821215480146 is an apocalyptic number.

821215480146 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

821215480146 is an abundant number, since it is smaller than the sum of its proper divisors (859411549518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821215480146 is a wasteful number, since it uses less digits than its factorization.

821215480146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183005785.

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 821215480146 in words is "eight hundred twenty-one billion, two hundred fifteen million, four hundred eighty thousand, one hundred forty-six".

Divisors: 1 2 3 6 43 86 129 258 3183005737 6366011474 9549017211 19098034422 136869246691 273738493382 410607740073 821215480146