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13226685966 = 2331322296329
BaseRepresentation
bin11000101000101111…
…10011011000001110
31021010210100021011000
430110113303120032
5204042012422331
610024245441130
7645524655444
oct142427633016
937123307130
1013226685966
115678134a2a
1226917101a6
13132a340700
148d68d6b94
155262cd0e6
hex3145f360e

13226685966 has 96 divisors (see below), whose sum is σ = 31971564000. Its totient is φ = 4051337472.

The previous prime is 13226685949. The next prime is 13226685991. The reversal of 13226685966 is 66958662231.

13226685966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2086690 + ... + 2093018.

It is an arithmetic number, because the mean of its divisors is an integer number (333037125).

Almost surely, 213226685966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13226685966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985782000).

13226685966 is an abundant number, since it is smaller than the sum of its proper divisors (18744878034).

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

13226685966 is a wasteful number, since it uses less digits than its factorization.

13226685966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6576 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 13226685966 in words is "thirteen billion, two hundred twenty-six million, six hundred eighty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 229 234 338 351 458 507 687 702 1014 1374 1521 2061 2977 3042 4122 4563 5954 6183 6329 8931 9126 12366 12658 17862 18987 26793 37974 38701 53586 56961 77402 80379 82277 113922 116103 160758 164554 170883 232206 246831 341766 348309 493662 696618 740493 1044927 1069601 1449341 1480986 2089854 2139202 2221479 2898682 3208803 4348023 4442958 6417606 8696046 9626409 13044069 18841433 19252818 26088138 28879227 37682866 39132207 56524299 57758454 78264414 113048598 169572897 244938629 339145794 489877258 508718691 734815887 1017437382 1469631774 2204447661 4408895322 6613342983 13226685966