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21742563063231 = 331935427776873
BaseRepresentation
bin1001111000110010101011…
…01111110111010110111111
32211222120100121021222011000
410330121111233313112333
510322212232121010411
6114124221240101343
74402563660456543
oct474312557672677
984876317258130
1021742563063231
116a22a73026a3a
122531a30464853
13c19412aab50a
145524ba721a23
1527a8921c2956
hex13c655bf75bf

21742563063231 has 32 divisors (see below), whose sum is σ = 32379119702720. Its totient is φ = 14419484946432.

The previous prime is 21742563063197. The next prime is 21742563063289. The reversal of 21742563063231 is 13236036524712.

It is a happy number.

21742563063231 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 2 + 5 + 6 + 3 + 0 + 632 + 3 + 1 = 666.

It is not a de Polignac number, because 21742563063231 - 27 = 21742563063103 is a prime.

It is a super-2 number, since 2×217425630632312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21742573063231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282799011 + ... + 282875883.

It is an arithmetic number, because the mean of its divisors is an integer number (1011847490710).

Almost surely, 221742563063231 is an apocalyptic number.

21742563063231 is a deficient number, since it is larger than the sum of its proper divisors (10636556639489).

21742563063231 is a wasteful number, since it uses less digits than its factorization.

21742563063231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131352 (or 131346 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

Adding to 21742563063231 its reverse (13236036524712), we get a palindrome (34978599587943).

The spelling of 21742563063231 in words is "twenty-one trillion, seven hundred forty-two billion, five hundred sixty-three million, sixty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 27 193 579 1737 5211 54277 76873 162831 230619 488493 691857 1465479 2075571 10475461 14836489 31426383 44509467 94279149 133528401 282837447 400585203 4172435821 12517307463 37551922389 112655767167 805280113453 2415840340359 7247521021077 21742563063231