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22648436868681 = 32131931100246703
BaseRepresentation
bin1010010011001010000000…
…00010001100011001001001
32222012011120111200021200100
411021211000002030121021
510432032444314244211
6120100314231400013
74525203243664401
oct511450002143111
988164514607610
1022648436868681
11724216a1947a8
122659503823009
13c8397a44aa40
14584293c67801
1529421020b156
hex14994008c649

22648436868681 has 24 divisors (see below), whose sum is σ = 35249147047296. Its totient is φ = 13930281709920.

The previous prime is 22648436868623. The next prime is 22648436868703. The reversal of 22648436868681 is 18686863484622.

22648436868681 is a `hidden beast` number, since 2 + 2 + 6 + 484 + 3 + 6 + 8 + 68 + 6 + 81 = 666.

It is not a de Polignac number, because 22648436868681 - 210 = 22648436867657 is a prime.

It is a super-2 number, since 2×226484368686812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22648436858681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49897425 + ... + 50349278.

It is an arithmetic number, because the mean of its divisors is an integer number (1468714460304).

Almost surely, 222648436868681 is an apocalyptic number.

It is an amenable number.

22648436868681 is a deficient number, since it is larger than the sum of its proper divisors (12600710178615).

22648436868681 is a wasteful number, since it uses less digits than its factorization.

22648436868681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100248653 (or 100248650 counting only the distinct ones).

The product of its digits is 1019215872, while the sum is 72.

The spelling of 22648436868681 in words is "twenty-two trillion, six hundred forty-eight billion, four hundred thirty-six million, eight hundred sixty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 13 39 117 1931 5793 17379 25103 75309 225927 100246703 300740109 902220327 1303207139 3909621417 11728864251 193576383493 580729150479 1742187451437 2516492985409 7549478956227 22648436868681