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12461422535331 = 3721123214568067
BaseRepresentation
bin1011010101010110011010…
…1010011110001010100011
31122010022002221222120011020
42311111212222132022203
53113131443132112311
642300410512220523
72424210444602400
oct265254652361243
948108087876136
1012461422535331
113a749501750a0
12149313523a743
136c51513c6c93
143111c95312a7
1516923bdb3c06
hexb5566a9e2a3

12461422535331 has 72 divisors (see below), whose sum is σ = 22041603428544. Its totient is φ = 6192010772640.

The previous prime is 12461422535273. The next prime is 12461422535347. The reversal of 12461422535331 is 13353522416421.

It is not a de Polignac number, because 12461422535331 - 217 = 12461422404259 is a prime.

It is a super-2 number, since 2×124614225353312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12461422535381) 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, 6428641 + ... + 8139426.

It is an arithmetic number, because the mean of its divisors is an integer number (306133380952).

Almost surely, 212461422535331 is an apocalyptic number.

12461422535331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12461422535331 is a deficient number, since it is larger than the sum of its proper divisors (9580180893213).

12461422535331 is a wasteful number, since it uses less digits than its factorization.

12461422535331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14568141 (or 14568111 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 12461422535331 in words is "twelve trillion, four hundred sixty-one billion, four hundred twenty-two million, five hundred thirty-five thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 529 539 759 1127 1587 1617 1771 3381 3703 5313 5819 11109 12397 17457 25921 37191 40733 77763 122199 285131 855393 14568067 43704201 101976469 160248737 305929407 335065541 480746211 713835283 1005196623 1121741159 2141505849 2345458787 3365223477 3685720951 7036376361 7706507443 7852188113 11057162853 16418211509 23119522329 23556564339 25800046657 49254634527 53945552101 77400139971 84771581873 161836656303 180600326599 254314745619 377618864707 541800979797 593401073111 1132856594121 1780203219333 4153807511777 12461422535331