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32340214652856 = 23311687371782167
BaseRepresentation
bin1110101101001110010110…
…00000011001111110111000
311020111200202011102200001120
413112213023000121332320
513214330224422342411
6152440520044545240
76545334444623535
oct726471300317670
9136450664380046
1032340214652856
11a339454078030
123763900552220
13150789119c3a6
147db3bbc63d8c
153b139abed106
hex1d69cb019fb8

32340214652856 has 64 divisors (see below), whose sum is σ = 88201918068480. Its totient is φ = 9799916974080.

The previous prime is 32340214652791. The next prime is 32340214652857. The reversal of 32340214652856 is 65825641204323.

It is a junction number, because it is equal to n+sod(n) for n = 32340214652799 and 32340214652808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32340214652857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17255485 + ... + 19037651.

It is an arithmetic number, because the mean of its divisors is an integer number (1378154969820).

Almost surely, 232340214652856 is an apocalyptic number.

It is an amenable number.

32340214652856 is an abundant number, since it is smaller than the sum of its proper divisors (55861703415624).

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

32340214652856 is a wasteful number, since it uses less digits than its factorization.

32340214652856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850924 (or 1850920 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 32340214652856 in words is "thirty-two trillion, three hundred forty billion, two hundred fourteen million, six hundred fifty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 68737 137474 206211 274948 412422 549896 756107 824844 1512214 1649688 1782167 2268321 3024428 3564334 4536642 5346501 6048856 7128668 9073284 10693002 14257336 18146568 19603837 21386004 39207674 42772008 58811511 78415348 117623022 156830696 235246044 470492088 122500813079 245001626158 367502439237 490003252316 735004878474 980006504632 1347508943869 1470009756948 2695017887738 2940019513896 4042526831607 5390035775476 8085053663214 10780071550952 16170107326428 32340214652856