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822825044464340 = 2251492399311508181
BaseRepresentation
bin1011101100010110101110001…
…0011111001101001011010100
310222220101022021002112221022102
42323011223202133031023110
51330322131142340324330
612034000335043221232
7335213101441432001
oct27305534237151324
93886338232487272
10822825044464340
112191a5161660615
127835100a677818
13294180b8094318
1410728d321648a8
15651d87ae19945
hex2ec5ae27cd2d4

822825044464340 has 48 divisors (see below), whose sum is σ = 1739602109120400. Its totient is φ = 326907437399040.

The previous prime is 822825044464307. The next prime is 822825044464363. The reversal of 822825044464340 is 43464440528228.

It can be written as a sum of positive squares in 8 ways, for example, as 448624340008516 + 374200704455824 = 21180754^2 + 19344268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65745050 + ... + 77253230.

It is an arithmetic number, because the mean of its divisors is an integer number (36241710606675).

Almost surely, 2822825044464340 is an apocalyptic number.

It is an amenable number.

822825044464340 is an abundant number, since it is smaller than the sum of its proper divisors (916777064656060).

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

822825044464340 is a wasteful number, since it uses less digits than its factorization.

822825044464340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532332 (or 11532330 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 56.

The spelling of 822825044464340 in words is "eight hundred twenty-two trillion, eight hundred twenty-five billion, forty-four million, four hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 23993 47986 95972 119965 239930 479860 3574957 7149914 11508181 14299828 17874785 23016362 35749570 46032724 57540905 71499140 115081810 230163620 1714718969 3429437938 6858875876 8573594845 17147189690 34294379380 276115786733 552231573466 1104463146932 1380578933665 2761157867330 5522315734660 41141252223217 82282504446434 164565008892868 205706261116085 411412522232170 822825044464340