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821804428836 = 2233151214123537
BaseRepresentation
bin10111111010101110101…
…11000110111000100100
32220120012222000111021000
423331113113012320210
5101431023413210321
61425310504553300
7113242036250256
oct13752727067044
92816188014230
10821804428836
112975861a2916
12113330782830
135c65a435181
142bac0157cd6
151659c68d826
hexbf575c6e24

821804428836 has 96 divisors (see below), whose sum is σ = 2145806933760. Its totient is φ = 271982016000.

The previous prime is 821804428807. The next prime is 821804428849. The reversal of 821804428836 is 638824408128.

821804428836 is a `hidden beast` number, since 8 + 2 + 180 + 4 + 428 + 8 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34903660 + ... + 34927196.

It is an arithmetic number, because the mean of its divisors is an integer number (22352155560).

Almost surely, 2821804428836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821804428836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072903466880).

821804428836 is an abundant number, since it is smaller than the sum of its proper divisors (1324002504924).

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

821804428836 is a wasteful number, since it uses less digits than its factorization.

821804428836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25842 (or 25834 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 821804428836 in words is "eight hundred twenty-one billion, eight hundred four million, four hundred twenty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 906 1359 1812 2141 2718 4077 4282 5436 6423 8154 8564 12846 16308 19269 23537 25692 38538 47074 57807 70611 77076 94148 115614 141222 211833 231228 282444 323291 423666 635499 646582 847332 969873 1270998 1293164 1939746 2541996 2909619 3554087 3879492 5819238 7108174 8728857 10662261 11638476 14216348 17457714 21324522 31986783 34915428 42649044 50392717 63973566 95960349 100785434 127947132 151178151 191920698 201570868 302356302 383841396 453534453 604712604 907068906 1360603359 1814137812 2721206718 5442413436 7609300267 15218600534 22827900801 30437201068 45655801602 68483702403 91311603204 136967404806 205451107209 273934809612 410902214418 821804428836