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827286010820 = 225113366055757
BaseRepresentation
bin11000000100111100001…
…01101011101111000100
32221002100222120201002222
430002132011223233010
5102023240204321240
61432014442151512
7113524630031663
oct14023605535704
92832328521088
10827286010820
11299939427565
121144004b2598
1360021c9a7c9
142c080178dda
15167bda20eb5
hexc09e16bbc4

827286010820 has 24 divisors (see below), whose sum is σ = 1752674969304. Its totient is φ = 327985957376.

The previous prime is 827286010807. The next prime is 827286010853. The reversal of 827286010820 is 28010682728.

It can be written as a sum of positive squares in 4 ways, for example, as 92518172224 + 734767838596 = 304168^2 + 857186^2 .

It is an unprimeable number.

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, 183025619 + ... + 183030138.

It is an arithmetic number, because the mean of its divisors is an integer number (73028123721).

Almost surely, 2827286010820 is an apocalyptic number.

It is an amenable number.

827286010820 is an abundant number, since it is smaller than the sum of its proper divisors (925388958484).

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

827286010820 is a wasteful number, since it uses less digits than its factorization.

827286010820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366055879 (or 366055877 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 827286010820 in words is "eight hundred twenty-seven billion, two hundred eighty-six million, ten thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 366055757 732111514 1464223028 1830278785 3660557570 7321115140 41364300541 82728601082 165457202164 206821502705 413643005410 827286010820