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82377120326326 = 27971073591579169
BaseRepresentation
bin10010101110101111101010…
…111111101010001010110110
3101210200011202011010101200121
4102232233222333222022312
541244131320300420301
6451111305431002154
723231356556400430
oct2256575277521266
9353604664111617
1082377120326326
112427aa38947901
1292a52a2b0935a
1336c718a885077
14164b106abb650
1597cc4086c3a1
hex4aebeafea2b6

82377120326326 has 64 divisors (see below), whose sum is σ = 144408400819200. Its totient is φ = 34517529944064.

The previous prime is 82377120326321. The next prime is 82377120326357. The reversal of 82377120326326 is 62362302177328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82377120326321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51375270 + ... + 52954438.

It is an arithmetic number, because the mean of its divisors is an integer number (2256381262800).

Almost surely, 282377120326326 is an apocalyptic number.

82377120326326 is a deficient number, since it is larger than the sum of its proper divisors (62031280492874).

82377120326326 is a wasteful number, since it uses less digits than its factorization.

82377120326326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579741.

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 82377120326326 in words is "eighty-two trillion, three hundred seventy-seven billion, one hundred twenty million, three hundred twenty-six thousand, three hundred twenty-six".

Divisors: 1 2 7 14 97 107 194 214 359 679 718 749 1358 1498 2513 5026 10379 20758 34823 38413 69646 72653 76826 145306 243761 268891 487522 537782 1579169 3158338 3726061 7452122 11054183 22108366 26082427 52164854 153179393 168971083 306358786 337942166 566921671 1072255751 1133843342 1182797581 2144511502 2365595162 3968451697 7936903394 16390195051 32780390102 54991402087 60660618797 109982804174 114731365357 121321237594 229462730714 384939814609 424624331579 769879629218 849248663158 5884080023309 11768160046618 41188560163163 82377120326326