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12810810246390 = 236513135177907
BaseRepresentation
bin1011101001101011111111…
…0010110100010011110110
31200100200221101121021000000
42322122333302310103312
53134343014410341030
643125112135332130
72461356551256612
oct272327762642366
950320841537000
1012810810246390
11409a041452722
12152a9a2521046
1371c092186350
1432409193c342
1517338a2bd860
hexba6bfcb44f6

12810810246390 has 112 divisors (see below), whose sum is σ = 37232862267888. Its totient is φ = 3153430191168.

The previous prime is 12810810246337. The next prime is 12810810246391. The reversal of 12810810246390 is 9364201801821.

12810810246390 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 0 + 8 + 1 + 0 + 2 + 4 + 639 + 0 = 666.

It is a super-2 number, since 2×128108102463902 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12810810246391) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 67494184 + ... + 67683723.

It is an arithmetic number, because the mean of its divisors is an integer number (332436270249).

Almost surely, 212810810246390 is an apocalyptic number.

12810810246390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12810810246390 is an abundant number, since it is smaller than the sum of its proper divisors (24422052021498).

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

12810810246390 is a wasteful number, since it uses less digits than its factorization.

12810810246390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135177945 (or 135177930 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12810810246390 in words is "twelve trillion, eight hundred ten billion, eight hundred ten million, two hundred forty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 729 810 1053 1170 1215 1458 1755 2106 2430 3159 3510 3645 5265 6318 7290 9477 10530 15795 18954 31590 47385 94770 135177907 270355814 405533721 675889535 811067442 1216601163 1351779070 1757312791 2027668605 2433202326 3514625582 3649803489 4055337210 5271938373 6083005815 7299606978 8786563955 10543876746 10949410467 12166011630 15815815119 17573127910 18249017445 21898820934 26359691865 31631630238 32848231401 36498034890 47447445357 52719383730 54747052335 65696462802 79079075595 94894890714 98544694203 109494104670 142342336071 158158151190 164241157005 197089388406 237237226785 284684672142 328482314010 427027008213 474474453570 492723471015 711711680355 854054016426 985446942030 1281081024639 1423423360710 2135135041065 2562162049278 4270270082130 6405405123195 12810810246390