Search a number
-
+
82060621728 = 2532689317887
BaseRepresentation
bin100110001101100110…
…0011011011110100000
321211210221112111121020
41030123030123132200
52321030004343403
6101410443525440
75633352530061
oct1143314333640
9254727474536
1082060621728
1131890099748
1213aa1b29880
13797a016107
143d866d4568
152204358453
hex131b31b7a0

82060621728 has 48 divisors (see below), whose sum is σ = 215489917440. Its totient is φ = 27343282176.

The previous prime is 82060621697. The next prime is 82060621771. The reversal of 82060621728 is 82712606028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82060621728.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99201 + ... + 417087.

It is an arithmetic number, because the mean of its divisors is an integer number (4489373280).

Almost surely, 282060621728 is an apocalyptic number.

It is an amenable number.

82060621728 is an abundant number, since it is smaller than the sum of its proper divisors (133429295712).

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

82060621728 is a wasteful number, since it uses less digits than its factorization.

82060621728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320589 (or 320581 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 82060621728 in words is "eighty-two billion, sixty million, six hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2689 5378 8067 10756 16134 21512 32268 43024 64536 86048 129072 258144 317887 635774 953661 1271548 1907322 2543096 3814644 5086192 7629288 10172384 15258576 30517152 854798143 1709596286 2564394429 3419192572 5128788858 6838385144 10257577716 13676770288 20515155432 27353540576 41030310864 82060621728