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82466272044891 = 347251579454823
BaseRepresentation
bin10010110000000010101100…
…110110011110011101011011
3101210222200212021210221110000
4102300002230312132131123
541302111411120414031
6451220252105424043
723240664045451320
oct2260025466363533
9353880767727400
1082466272044891
1124304827750559
1292ba62379b023
1337026c7a1b367
141651563082b47
1598020c4d63e6
hex4b00acd9e75b

82466272044891 has 40 divisors (see below), whose sum is σ = 141349891947264. Its totient is φ = 46935840582000.

The previous prime is 82466272044809. The next prime is 82466272044911. The reversal of 82466272044891 is 19844027266428.

It is a happy number.

82466272044891 is a `hidden beast` number, since 8 + 2 + 4 + 66 + 27 + 20 + 448 + 91 = 666.

82466272044891 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 82466272044891 - 217 = 82466271913819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82466272044491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 289585095 + ... + 289869728.

Almost surely, 282466272044891 is an apocalyptic number.

82466272044891 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82466272044891 is a deficient number, since it is larger than the sum of its proper divisors (58883619902373).

82466272044891 is a wasteful number, since it uses less digits than its factorization.

82466272044891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579455093 (or 579455084 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 82466272044891 in words is "eighty-two trillion, four hundred sixty-six billion, two hundred seventy-two million, forty-four thousand, eight hundred ninety-one".

Divisors: 1 3 7 9 21 27 63 81 189 251 567 753 1757 2259 5271 6777 15813 20331 47439 142317 579454823 1738364469 4056183761 5215093407 12168551283 15645280221 36505653849 46935840663 109516961547 145443160573 328550884641 436329481719 1018102124011 1308988445157 3054306372033 3926965335471 9162919116099 11780896006413 27488757348297 82466272044891