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20875879236681 = 3272271201186861
BaseRepresentation
bin1001011111100100010110…
…10111011100010001001001
32201220201021220202212001200
410233302023113130101021
510214012300041033211
6112222125125534413
74253142514501200
oct457621327342111
981821256685050
1020875879236681
116719457661397
122411a75874409
13b85782740311
1452257dd70237
152630699b9b56
hex12fc8b5dc449

20875879236681 has 72 divisors (see below), whose sum is σ = 35224506165888. Its totient is φ = 11879008344000.

The previous prime is 20875879236623. The next prime is 20875879236697. The reversal of 20875879236681 is 18663297857802.

20875879236681 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 587 + 9 + 2 + 36 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 20875879236681 - 238 = 20601001329737 is a prime.

It is a super-2 number, since 2×208758792366812 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20875879236581) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 240293191 + ... + 240380051.

It is an arithmetic number, because the mean of its divisors is an integer number (489229252304).

Almost surely, 220875879236681 is an apocalyptic number.

20875879236681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20875879236681 is a deficient number, since it is larger than the sum of its proper divisors (14348626929207).

20875879236681 is a wasteful number, since it uses less digits than its factorization.

20875879236681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89163 (or 89153 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 20875879236681 in words is "twenty trillion, eight hundred seventy-five billion, eight hundred seventy-nine million, two hundred thirty-six thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 271 441 813 1897 2011 2439 5691 6033 13279 14077 17073 18099 39837 42231 86861 98539 119511 126693 260583 295617 544981 608027 781749 886851 1634943 1824081 3814867 4256189 4904829 5472243 11444601 12768567 23539331 26704069 34333803 38305701 70617993 80112207 164775317 174677471 211853979 240336621 494325951 524032413 1153427219 1222742297 1482977853 1572097239 3460281657 3668226891 8559196079 10380844971 11004680673 25677588237 47337594641 77032764711 142012783923 331363162487 426038351769 994089487461 2319542137409 2982268462383 6958626412227 20875879236681