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82348311286773 = 32731246717091623
BaseRepresentation
bin10010101110010100110101…
…110101111001001111110101
3101210120102101101211112220200
4102232110311311321033311
541243143320142134043
6451050143021151113
723226316630530450
oct2256246565711765
9353512341745820
1082348311286773
11242697a49a6004
12929b7a29bb499
1336c454916aabc
1416499728cc497
1597c1065957d3
hex4ae535d793f5

82348311286773 has 48 divisors (see below), whose sum is σ = 140382122090496. Its totient is φ = 45519775040160.

The previous prime is 82348311286771. The next prime is 82348311286777. The reversal of 82348311286773 is 37768211384328.

It is a happy number.

82348311286773 is a `hidden beast` number, since 8 + 2 + 3 + 483 + 1 + 1 + 2 + 86 + 7 + 73 = 666.

It is not a de Polignac number, because 82348311286773 - 21 = 82348311286771 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82348311286773.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82348311286771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3727761 + ... + 13363862.

It is an arithmetic number, because the mean of its divisors is an integer number (2924627543552).

Almost surely, 282348311286773 is an apocalyptic number.

It is an amenable number.

82348311286773 is a deficient number, since it is larger than the sum of its proper divisors (58033810803723).

82348311286773 is a wasteful number, since it uses less digits than its factorization.

82348311286773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17094134 (or 17094131 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 82348311286773 in words is "eighty-two trillion, three hundred forty-eight billion, three hundred eleven million, two hundred eighty-six thousand, seven hundred seventy-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 2467 7401 17269 22203 51807 76477 155421 229431 535339 688293 1606017 4818051 17091623 51274869 119641361 153824607 358924083 529840313 1076772249 1589520939 3708882191 4768562817 11126646573 33379939719 42165033941 126495101823 295155237587 379485305469 885465712761 1307116052171 2656397138283 3921348156513 9149812365197 11764044469539 27449437095591 82348311286773