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821294982061 = 1725353619833
BaseRepresentation
bin10111111001110001111…
…11101110001110101101
32220111220110101220122221
423330320333232032231
5101424003003411221
61425144145435341
7113223312106561
oct13747077561655
92814813356587
10821294982061
11297344673a24
1211320a03bb51
135c5a8a23288
142ba726236a1
151656caab541
hexbf38fee3ad

821294982061 has 12 divisors (see below), whose sum is σ = 888909608052. Its totient is φ = 758398903808.

The previous prime is 821294982043. The next prime is 821294982103. The reversal of 821294982061 is 160289492128.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 144305015625 + 676989966436 = 379875^2 + 822794^2 .

It is not a de Polignac number, because 821294982061 - 223 = 821286593453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821294985061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26794600 + ... + 26825233.

It is an arithmetic number, because the mean of its divisors is an integer number (74075800671).

Almost surely, 2821294982061 is an apocalyptic number.

It is an amenable number.

821294982061 is a deficient number, since it is larger than the sum of its proper divisors (67614625991).

821294982061 is a wasteful number, since it uses less digits than its factorization.

821294982061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53619920 (or 53619903 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 821294982061 in words is "eight hundred twenty-one billion, two hundred ninety-four million, nine hundred eighty-two thousand, sixty-one".

Divisors: 1 17 53 289 901 15317 53619833 911537161 2841851149 15496131737 48311469533 821294982061