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21839768042868 = 2233280172195671
BaseRepresentation
bin1001111011100111101111…
…00111011011110101110100
32212022212020222121120021000
410331303313213123311310
510330310321104332433
6114241015000123300
74412604545246616
oct475636747336564
985285228546230
1021839768042868
116a60214775956
12254883a166530
13c25634515449
1455709c496db6
1527d180d58113
hex13dcf79dbd74

21839768042868 has 48 divisors (see below), whose sum is σ = 56641836424320. Its totient is φ = 7277323536000.

The previous prime is 21839768042867. The next prime is 21839768042909. The reversal of 21839768042868 is 86824086793812.

21839768042868 is a `hidden beast` number, since 2 + 1 + 83 + 9 + 7 + 68 + 0 + 428 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21839768042796 and 21839768042805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21839768042867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35795328 + ... + 36400343.

It is an arithmetic number, because the mean of its divisors is an integer number (1180038258840).

Almost surely, 221839768042868 is an apocalyptic number.

It is an amenable number.

21839768042868 is an abundant number, since it is smaller than the sum of its proper divisors (34802068381452).

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

21839768042868 is a wasteful number, since it uses less digits than its factorization.

21839768042868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72198485 (or 72198477 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 21839768042868 in words is "twenty-one trillion, eight hundred thirty-nine billion, seven hundred sixty-eight million, forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2801 5602 8403 11204 16806 25209 33612 50418 75627 100836 151254 302508 72195671 144391342 216587013 288782684 433174026 649761039 866348052 1299522078 1949283117 2599044156 3898566234 7797132468 202220074471 404440148942 606660223413 808880297884 1213320446826 1819980670239 2426640893652 3639961340478 5459942010717 7279922680956 10919884021434 21839768042868