Search a number
-
+
82755402688 = 26717671271277
BaseRepresentation
bin100110100010010011…
…0110011101111000000
321220121100220000220101
41031010212303233000
52323440340341223
6102003423252144
75656520213410
oct1150446635700
9256540800811
1082755402688
11321072a3992
121405674a054
137a5ac48aca
144010ab0640
1522453494ad
hex13449b3bc0

82755402688 has 224 divisors, whose sum is σ = 203430445056. Its totient is φ = 32597655552.

The previous prime is 82755402683. The next prime is 82755402721. The reversal of 82755402688 is 88620455728.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82755402683) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64803906 + ... + 64805182.

Almost surely, 282755402688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82755402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101715222528).

82755402688 is an abundant number, since it is smaller than the sum of its proper divisors (120675042368).

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

82755402688 is a wasteful number, since it uses less digits than its factorization.

82755402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 55.

The spelling of 82755402688 in words is "eighty-two billion, seven hundred fifty-five million, four hundred two thousand, six hundred eighty-eight".