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13353525314334 = 2344110311950017
BaseRepresentation
bin1100001001010001110000…
…1000100000001100011110
31202021120210010202020210000
43002110130020200030132
53222241004440024314
644222305210555130
72545521543241122
oct302243410401436
952246703666700
1013353525314334
11428921aa06967
1215b8004738aa6
1375b302a1764a
14342457b65582
15182550e48209
hexc251c22031e

13353525314334 has 80 divisors (see below), whose sum is σ = 30681333609696. Its totient is φ = 4338395596800.

The previous prime is 13353525314279. The next prime is 13353525314387. The reversal of 13353525314334 is 43341352535331.

It is a happy number.

13353525314334 is a `hidden beast` number, since 1 + 3 + 3 + 53 + 5 + 253 + 14 + 334 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13353525314334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5872894 + ... + 7822910.

Almost surely, 213353525314334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13353525314334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340666804848).

13353525314334 is an abundant number, since it is smaller than the sum of its proper divisors (17327808295362).

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

13353525314334 is a wasteful number, since it uses less digits than its factorization.

13353525314334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951103 (or 1951094 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 45.

Adding to 13353525314334 its reverse (43341352535331), we get a palindrome (56694877849665).

The spelling of 13353525314334 in words is "thirteen trillion, three hundred fifty-three billion, five hundred twenty-five million, three hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1031 1107 2062 2214 3093 3321 6186 6642 9279 18558 27837 42271 55674 83511 84542 126813 167022 253626 380439 760878 1141317 1950017 2282634 3423951 3900034 5850051 6847902 11700102 17550153 35100306 52650459 79950697 105300918 157951377 159901394 239852091 315902754 479704182 719556273 1439112546 2010467527 2158668819 4020935054 4317337638 6031402581 6476006457 12062805162 12952012914 18094207743 36188415486 54282623229 82429168607 108565246458 162847869687 164858337214 247287505821 325695739374 494575011642 741862517463 1483725034926 2225587552389 4451175104778 6676762657167 13353525314334