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12645246474 = 2347671491117
BaseRepresentation
bin10111100011011011…
…10010011000001010
31012122021021002010000
423301231302120022
5201344140341344
65450435303430
7625234551540
oct136155623012
935567232100
1012645246474
1153a9a03923
12254aa4ab76
131266a42c83
1487d5c1d90
154e0229a69
hex2f1b7260a

12645246474 has 160 divisors (see below), whose sum is σ = 33116054400. Its totient is φ = 3531952512.

The previous prime is 12645246463. The next prime is 12645246479. The reversal of 12645246474 is 47464254621.

It is a happy number.

12645246474 is a `hidden beast` number, since 1 + 2 + 64 + 524 + 64 + 7 + 4 = 666.

12645246474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12645246479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11320164 + ... + 11321280.

It is an arithmetic number, because the mean of its divisors is an integer number (206975340).

Almost surely, 212645246474 is an apocalyptic number.

12645246474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12645246474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558027200).

12645246474 is an abundant number, since it is smaller than the sum of its proper divisors (20470807926).

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

12645246474 is a wasteful number, since it uses less digits than its factorization.

12645246474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1345 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 12645246474 in words is "twelve billion, six hundred forty-five million, two hundred forty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 81 126 134 149 162 189 201 298 378 402 447 469 567 603 894 938 1043 1117 1134 1206 1341 1407 1809 2086 2234 2682 2814 3129 3351 3618 4023 4221 5427 6258 6702 7819 8046 8442 9387 9983 10053 10854 12069 12663 15638 18774 19966 20106 23457 24138 25326 28161 29949 30159 37989 46914 56322 59898 60318 69881 70371 74839 75978 84483 89847 90477 139762 140742 149678 166433 168966 179694 180954 209643 211113 224517 269541 332866 419286 422226 449034 499299 523873 539082 628929 633339 673551 808623 998598 1047746 1165031 1257858 1266678 1347102 1497897 1571619 1617246 1886787 2020653 2330062 2995794 3143238 3495093 3773574 4041306 4493691 4714857 5660361 6061959 6990186 8987382 9429714 10485279 11151011 11320722 12123918 13481073 14144571 20970558 22302022 26962146 28289142 31455837 33453033 42433713 62911674 66906066 78057077 84867426 94367511 100359099 156114154 188735022 200718198 234171231 301077297 468342462 602154594 702513693 903231891 1405027386 1806463782 2107541079 4215082158 6322623237 12645246474