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13532870164506 = 2371123803700211
BaseRepresentation
bin1100010011101101110111…
…1010110100000000011010
31202220201200222201121102020
43010323131322310000122
53233210304230231011
644440525325315310
72564501065305330
oct304733572640032
952821628647366
1013532870164506
114348292452300
121626916a05b36
137721b49c3b74
1434adcc93db50
1518704ad8d006
hexc4eddeb401a

13532870164506 has 96 divisors (see below), whose sum is σ = 34008927128064. Its totient is φ = 3514101914400.

The previous prime is 13532870164439. The next prime is 13532870164511. The reversal of 13532870164506 is 60546107823531.

13532870164506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18976741 + ... + 19676951.

It is an arithmetic number, because the mean of its divisors is an integer number (354259657584).

Almost surely, 213532870164506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13532870164506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004463564032).

13532870164506 is an abundant number, since it is smaller than the sum of its proper divisors (20476056963558).

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

13532870164506 is a wasteful number, since it uses less digits than its factorization.

13532870164506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704048 (or 704037 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 13532870164506 in words is "thirteen trillion, five hundred thirty-two billion, eight hundred seventy million, one hundred sixty-four thousand, five hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 3803 5082 7606 11409 22818 26621 41833 53242 79863 83666 125499 159726 250998 292831 460163 585662 700211 878493 920326 1380489 1400422 1756986 2100633 2760978 3221141 4201266 4901477 6442282 7702321 9663423 9802954 14704431 15404642 19326846 23106963 29408862 46213926 53916247 84725531 107832494 161748741 169451062 254176593 323497482 508353186 593078717 1186157434 1779236151 2662902433 3558472302 5325804866 7988707299 15977414598 18640317031 29291926763 37280634062 55920951093 58583853526 87875780289 111841902186 175751560578 205043487341 322211194393 410086974682 615130462023 644422388786 966633583179 1230260924046 1933267166358 2255478360751 4510956721502 6766435082253 13532870164506