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82106711334 = 23271160739979
BaseRepresentation
bin100110001110111110…
…0001111110100100110
321211221011021002122200
41030131330033310212
52321123304230314
6101415211435330
75634452350104
oct1143574176446
9254834232580
1082106711334
113190410952a
1213ab5455b46
13798673267b
143d8c890c74
15220840e709
hex131df0fd26

82106711334 has 48 divisors (see below), whose sum is σ = 180520254720. Its totient is φ = 26965960560.

The previous prime is 82106711317. The next prime is 82106711347. The reversal of 82106711334 is 43311760128.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2033757 + ... + 2073735.

It is an arithmetic number, because the mean of its divisors is an integer number (3760838640).

Almost surely, 282106711334 is an apocalyptic number.

82106711334 is an abundant number, since it is smaller than the sum of its proper divisors (98413543386).

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

82106711334 is a wasteful number, since it uses less digits than its factorization.

82106711334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41665 (or 41662 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 82106711334 in words is "eighty-two billion, one hundred six million, seven hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 1607 3214 4821 9642 14463 28926 39979 79958 114097 119937 228194 239874 342291 359811 684582 719622 1026873 2053746 2838509 5677018 8515527 17031054 25546581 51093162 64246253 128492506 192738759 385477518 578216277 1156432554 4561483963 9122967926 13684451889 27368903778 41053355667 82106711334