Search a number
-
+
13366534562424 = 23324714832663467
BaseRepresentation
bin1100001010000010001110…
…0010110110001001111000
31202022211100202221112020100
43002200203202312021320
53222444130321444144
644232300132155400
72546462121104121
oct302404342661170
952284322845210
1013366534562424
11429379632856a
1215ba635468b60
1375c5c6ca6894
14342d2d81b048
15182a630c5269
hexc28238b6278

13366534562424 has 96 divisors (see below), whose sum is σ = 36996209752320. Its totient is φ = 4357771299648.

The previous prime is 13366534562393. The next prime is 13366534562429. The reversal of 13366534562424 is 42426543566331.

13366534562424 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 6 + 5 + 3 + 4 + 5 + 624 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13366534562429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3686739 + ... + 6350205.

It is an arithmetic number, because the mean of its divisors is an integer number (385377184920).

Almost surely, 213366534562424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13366534562424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498104876160).

13366534562424 is an abundant number, since it is smaller than the sum of its proper divisors (23629675189896).

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

13366534562424 is a wasteful number, since it uses less digits than its factorization.

13366534562424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665009 (or 2665002 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 13366534562424 in words is "thirteen trillion, three hundred sixty-six billion, five hundred thirty-four million, five hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1483 1692 2966 3384 4449 5932 8898 11864 13347 17796 26694 35592 53388 69701 106776 139402 209103 278804 418206 557608 627309 836412 1254618 1672824 2509236 2663467 5018472 5326934 7990401 10653868 15980802 21307736 23971203 31961604 47942406 63923208 95884812 125182949 191769624 250365898 375548847 500731796 751097694 1001463592 1126646541 1502195388 2253293082 3004390776 3949921561 4506586164 7899843122 9013172328 11849764683 15799686244 23699529366 31599372488 35549294049 47399058732 71098588098 94798117464 142197176196 185646313367 284394352392 371292626734 556938940101 742585253468 1113877880202 1485170506936 1670816820303 2227755760404 3341633640606 4455511520808 6683267281212 13366534562424