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82348106647326 = 231310326927380657
BaseRepresentation
bin10010101110010100101001…
…101001010000011100011110
3101210120101212010202210100220
4102232110221221100130132
541243142410300203301
6451050110431102210
723226311564241132
oct2256245151203436
9353511763683326
1082348106647326
11242696aa4343a3
12929b746371966
1336c451594ab80
14164995365d3c2
1597c0e3621936
hex4ae529a5071e

82348106647326 has 64 divisors (see below), whose sum is σ = 179094265878528. Its totient is φ = 25090882380288.

The previous prime is 82348106647267. The next prime is 82348106647327. The reversal of 82348106647326 is 62374660184328.

It is a self number, because there is not a number n which added to its sum of digits gives 82348106647326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82348106647327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216141190 + ... + 216521846.

It is an arithmetic number, because the mean of its divisors is an integer number (2798347904352).

Almost surely, 282348106647326 is an apocalyptic number.

82348106647326 is an abundant number, since it is smaller than the sum of its proper divisors (96746159231202).

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

82348106647326 is a wasteful number, since it uses less digits than its factorization.

82348106647326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407705.

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 82348106647326 in words is "eighty-two trillion, three hundred forty-eight billion, one hundred six million, six hundred forty-seven thousand, three hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1339 2678 4017 8034 26927 53854 80781 161562 350051 380657 700102 761314 1050153 1141971 2100306 2283942 2773481 4948541 5546962 8320443 9897082 14845623 16640886 29691246 36055253 39207671 72110506 78415342 108165759 117623013 216331518 235246026 509699723 1019399446 1529099169 3058198338 10249951039 20499902078 30749853117 61499706234 133249363507 266498727014 399748090521 799496181042 1055744957017 2111489914034 3167234871051 6334469742102 13724684441221 27449368882442 41174053323663 82348106647326