Search a number
-
+
82662766485651 = 33117319913191467
BaseRepresentation
bin10010110010111001101100…
…110101010010000010010011
3101211200111001022202202201000
4102302321230311102002103
541313321321210020101
6451450430051313043
723261121261603102
oct2262715465220223
9354614038682630
1082662766485651
112438009a738160
1293307212ab783
1337180b09a5711
14165ac8375a039
159853acd01486
hex4b2e6cd52093

82662766485651 has 64 divisors (see below), whose sum is σ = 135433986071040. Its totient is φ = 49409624056320.

The previous prime is 82662766485623. The next prime is 82662766485667. The reversal of 82662766485651 is 15658466726628.

82662766485651 is a `hidden beast` number, since 8 + 2 + 6 + 6 + 27 + 66 + 485 + 65 + 1 = 666.

It is not a de Polignac number, because 82662766485651 - 227 = 82662632267923 is a prime.

It is a super-2 number, since 2×826627664856512 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82662766485651.

It is not an unprimeable number, because it can be changed into a prime (82662766485671) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431638020 + ... + 431829486.

It is an arithmetic number, because the mean of its divisors is an integer number (2116156032360).

Almost surely, 282662766485651 is an apocalyptic number.

82662766485651 is a deficient number, since it is larger than the sum of its proper divisors (52771219585389).

82662766485651 is a wasteful number, since it uses less digits than its factorization.

82662766485651 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211473 (or 211467 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 82662766485651 in words is "eighty-two trillion, six hundred sixty-two billion, seven hundred sixty-six million, four hundred eighty-five thousand, six hundred fifty-one".

Divisors: 1 3 9 11 27 33 73 99 219 297 657 803 1971 2409 7227 19913 21681 59739 179217 191467 219043 537651 574401 657129 1453649 1723203 1971387 2106137 4360947 5169609 5914161 6318411 13082841 13977091 15990139 18955233 39248523 41931273 47970417 56865699 125793819 143911251 153748001 377381457 431733753 461244003 1383732009 3812682371 4151196027 11438047113 34314141339 41939506081 102942424017 125818518243 278325813083 377455554729 834977439249 1132366664187 2504932317747 3061583943913 7514796953241 9184751831739 27554255495217 82662766485651