Search a number
-
+
820063145132 = 227112662542679
BaseRepresentation
bin10111110111011111001…
…00101000110010101100
32220101201121111010001222
423323233210220302230
5101413442131121012
61424422023122512
7113150633502350
oct13735744506254
92811647433058
10820063145132
112968722a2680
12112b255a3438
135c44076299a
142b996ba7460
15164e9882972
hexbeef928cac

820063145132 has 24 divisors (see below), whose sum is σ = 1789228680960. Its totient is φ = 319505121360.

The previous prime is 820063145051. The next prime is 820063145141. The reversal of 820063145132 is 231541360028.

It is a junction number, because it is equal to n+sod(n) for n = 820063145092 and 820063145101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1331271032 + ... + 1331271647.

It is an arithmetic number, because the mean of its divisors is an integer number (74551195040).

Almost surely, 2820063145132 is an apocalyptic number.

It is an amenable number.

820063145132 is an abundant number, since it is smaller than the sum of its proper divisors (969165535828).

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

820063145132 is a wasteful number, since it uses less digits than its factorization.

820063145132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662542701 (or 2662542699 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 820063145132 in words is "eight hundred twenty billion, sixty-three million, one hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 2662542679 5325085358 10650170716 18637798753 29287969469 37275597506 58575938938 74551195012 117151877876 205015786283 410031572566 820063145132