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22979987686656 = 283272111317313773
BaseRepresentation
bin1010011100110011100100…
…00000001100010100000000
310000100212100212000221010100
411032121302000030110000
511003001003321433111
6120512505520202400
74561151342306100
oct516316200142400
9100325325027110
1022979987686656
11735a837a64580
1226b1813469400
13ca9007a174c0
14596347385200
1529cb6772a756
hex14e67200c500

22979987686656 has 5184 divisors, whose sum is σ = 103035335510016. Its totient is φ = 4815794995200.

The previous prime is 22979987686567. The next prime is 22979987686681. The reversal of 22979987686656 is 65668678997922.

It is a super-2 number, since 2×229799876866562 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 314794351836 + ... + 314794351908.

It is an arithmetic number, because the mean of its divisors is an integer number (19875643424).

Almost surely, 222979987686656 is an apocalyptic number.

22979987686656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22979987686656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51517667755008).

22979987686656 is an abundant number, since it is smaller than the sum of its proper divisors (80055347823360).

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

22979987686656 is a wasteful number, since it uses less digits than its factorization.

22979987686656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

The product of its digits is 59256852480, while the sum is 90.

The spelling of 22979987686656 in words is "twenty-two trillion, nine hundred seventy-nine billion, nine hundred eighty-seven million, six hundred eighty-six thousand, six hundred fifty-six".