Search a number
-
+
82989751752 = 23321152635441
BaseRepresentation
bin100110101001010010…
…0110001110111001000
321221012200212012101100
41031102210301313020
52324430334024002
6102042554221400
75665364152005
oct1152244616710
9257180765340
1082989751752
11322176078a6
1214101124860
137a9766b7ab
144033c748ac
15225abdb11c
hex1352931dc8

82989751752 has 24 divisors (see below), whose sum is σ = 224763911190. Its totient is φ = 27663250560.

The previous prime is 82989751727. The next prime is 82989751783. The reversal of 82989751752 is 25715798928.

82989751752 is a `hidden beast` number, since 8 + 29 + 8 + 97 + 517 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82533245796 + 456505956 = 287286^2 + 21366^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 82989751752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 576317649 + ... + 576317792.

Almost surely, 282989751752 is an apocalyptic number.

It is an amenable number.

82989751752 is an abundant number, since it is smaller than the sum of its proper divisors (141774159438).

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

82989751752 is a wasteful number, since it uses less digits than its factorization.

82989751752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152635453 (or 1152635446 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 63.

The spelling of 82989751752 in words is "eighty-two billion, nine hundred eighty-nine million, seven hundred fifty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1152635441 2305270882 3457906323 4610541764 6915812646 9221083528 10373718969 13831625292 20747437938 27663250584 41494875876 82989751752