Search a number
-
+
82778672061 = 335357846731
BaseRepresentation
bin100110100010111111…
…1100100101110111101
321220122222200020111000
41031011333210232331
52324012320001221
6102010014120513
75660222050221
oct1150577445675
9256588606430
1082778672061
1132119447578
12140624b0139
137a62a05377
144013c0a781
1522473e3e26
hex1345fe4bbd

82778672061 has 16 divisors (see below), whose sum is σ = 124948941120. Its totient is φ = 54144539280.

The previous prime is 82778672029. The next prime is 82778672063. The reversal of 82778672061 is 16027687728.

It is a happy number.

It is not a de Polignac number, because 82778672061 - 25 = 82778672029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82778671989 and 82778672007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82778672063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28921935 + ... + 28924796.

It is an arithmetic number, because the mean of its divisors is an integer number (7809308820).

Almost surely, 282778672061 is an apocalyptic number.

It is an amenable number.

82778672061 is a deficient number, since it is larger than the sum of its proper divisors (42170269059).

82778672061 is a wasteful number, since it uses less digits than its factorization.

82778672061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57846793 (or 57846787 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 82778672061 in words is "eighty-two billion, seven hundred seventy-eight million, six hundred seventy-two thousand, sixty-one".

Divisors: 1 3 9 27 53 159 477 1431 57846731 173540193 520620579 1561861737 3065876743 9197630229 27592890687 82778672061