Search a number
-
+
831360063138 = 231124152267073
BaseRepresentation
bin11000001100100001110…
…10111101011010100010
32221110212220122000020120
430012100322331122202
5102110111134010023
61433531015221110
7114030606640353
oct14062072753242
92843786560216
10831360063138
112a063a09a350
12115158977796
1360521049357
142c349287d2a
151695b5228e3
hexc190ebd6a2

831360063138 has 32 divisors (see below), whose sum is σ = 1821402994752. Its totient is φ = 250881945600.

The previous prime is 831360063133. The next prime is 831360063139.

831360063138 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 831360063138.

It is not an unprimeable number, because it can be changed into a prime (831360063133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26117631 + ... + 26149442.

It is an arithmetic number, because the mean of its divisors is an integer number (56918843586).

Almost surely, 2831360063138 is an apocalyptic number.

831360063138 is an abundant number, since it is smaller than the sum of its proper divisors (990042931614).

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

831360063138 is a wasteful number, since it uses less digits than its factorization.

831360063138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52267330.

The product of its (nonzero) digits is 186624, while the sum is 42.

It can be divided in two parts, 8313600 and 63138, that added together give a palindrome (8376738).

The spelling of 831360063138 in words is "eight hundred thirty-one billion, three hundred sixty million, sixty-three thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 241 482 723 1446 2651 5302 7953 15906 52267073 104534146 156801219 313602438 574937803 1149875606 1724813409 3449626818 12596364593 25192729186 37789093779 75578187558 138560010523 277120021046 415680031569 831360063138