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82665418035368 = 2372921981388591
BaseRepresentation
bin10010110010111100001010…
…111000001001000010101000
3101211200201220010010110010002
4102302330022320021002220
541313342234004112433
6451451545131242132
723261244056444540
oct2262741270110250
9354621803113102
1082665418035368
1124381230441763
1293311412a9348
13371841412724c
14165b05597a320
159854b59b59e8
hex4b2f0ae090a8

82665418035368 has 96 divisors (see below), whose sum is σ = 183470424533760. Its totient is φ = 34204267319040.

The previous prime is 82665418035367. The next prime is 82665418035371. The reversal of 82665418035368 is 86353081456628.

It is not an unprimeable number, because it can be changed into a prime (82665418035367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933068753 + ... + 933157343.

It is an arithmetic number, because the mean of its divisors is an integer number (1911150255560).

Almost surely, 282665418035368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82665418035368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91735212266880).

82665418035368 is an abundant number, since it is smaller than the sum of its proper divisors (100805006498392).

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

82665418035368 is a wasteful number, since it uses less digits than its factorization.

82665418035368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108475 (or 108442 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 65.

The spelling of 82665418035368 in words is "eighty-two trillion, six hundred sixty-five billion, four hundred eighteen million, thirty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 841 1624 1682 3364 5887 6728 11774 19813 23548 39626 47096 79252 88591 138691 158504 177182 277382 354364 554764 574577 620137 708728 1109528 1149154 1240274 2298308 2480548 2569139 4022039 4596616 4961096 5138278 8044078 10276556 16088156 16662733 17983973 20553112 32176312 33325466 35967946 66650932 71935892 74505031 116639131 133301864 143871784 149010062 233278262 298020124 466556524 521535217 596040248 933113048 1043070434 1755253483 2086140868 3510506966 4172281736 7021013932 12286774381 14042027864 24573548762 49147097524 50902351007 98294195048 101804702014 203609404028 356316457049 407218808056 712632914098 1425265828196 1476168179203 2850531656392 2952336358406 5904672716812 10333177254421 11809345433624 20666354508842 41332709017684 82665418035368