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13468349466 = 23311133156263
BaseRepresentation
bin11001000101100011…
…01011010000011010
31021202122002001011000
430202301223100122
5210040344140331
610104241245430
7654521036655
oct144261532032
937678061130
1013468349466
115791594330
12273a633876
131368424770
1491aa4289c
1553c6170e6
hex322c6b41a

13468349466 has 128 divisors (see below), whose sum is σ = 36297031680. Its totient is φ = 3645777600.

The previous prime is 13468349449. The next prime is 13468349491. The reversal of 13468349466 is 66494386431.

It is a happy number.

13468349466 is a `hidden beast` number, since 1 + 3 + 468 + 34 + 94 + 66 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211251 + ... + 267513.

It is an arithmetic number, because the mean of its divisors is an integer number (283570560).

Almost surely, 213468349466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13468349466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18148515840).

13468349466 is an abundant number, since it is smaller than the sum of its proper divisors (22828682214).

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

13468349466 is a wasteful number, since it uses less digits than its factorization.

13468349466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56329 (or 56323 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 13468349466 in words is "thirteen billion, four hundred sixty-eight million, three hundred forty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 31 33 39 54 62 66 78 93 99 117 143 186 198 234 279 286 297 341 351 403 429 558 594 682 702 806 837 858 1023 1209 1287 1674 2046 2418 2574 3069 3627 3861 4433 6138 7254 7722 8866 9207 10881 13299 18414 21762 26598 39897 56263 79794 112526 119691 168789 239382 337578 506367 618893 731419 1012734 1237786 1462838 1519101 1744153 1856679 2194257 3038202 3488306 3713358 4388514 5232459 5570037 6582771 8045609 10464918 11140074 13165542 15697377 16091218 16710111 19185683 19748313 22673989 24136827 31394754 33420222 38371366 39496626 45347978 47092131 48273654 57557049 68021967 72410481 94184262 115114098 136043934 144820962 172671147 204065901 217231443 249413879 345342294 408131802 434462886 498827758 518013441 612197703 748241637 1036026882 1224395406 1496483274 2244724911 4489449822 6734174733 13468349466