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68582431144 = 2310978649577
BaseRepresentation
bin111111110111110101…
…001101100110101000
320120000121221110222101
4333313311031212220
52110424100244034
651301211303144
74645352021563
oct776765154650
9216017843871
1068582431144
11270a3aa3667
121136014aab4
13660c857206
14346864d4da
151bb5e4a514
hexff7d4d9a8

68582431144 has 16 divisors (see below), whose sum is σ = 129771803700. Its totient is φ = 33976616832.

The previous prime is 68582431129. The next prime is 68582431147. The reversal of 68582431144 is 44113428586.

It can be written as a sum of positive squares in 2 ways, for example, as 67003322500 + 1579108644 = 258850^2 + 39738^2 .

It is a super-2 number, since 2×685824311442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68582431094 and 68582431103.

It is not an unprimeable number, because it can be changed into a prime (68582431147) 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 3 ways as a sum of consecutive naturals, for example, 39323917 + ... + 39325660.

Almost surely, 268582431144 is an apocalyptic number.

It is an amenable number.

68582431144 is a deficient number, since it is larger than the sum of its proper divisors (61189372556).

68582431144 is a wasteful number, since it uses less digits than its factorization.

68582431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78649692 (or 78649688 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The spelling of 68582431144 in words is "sixty-eight billion, five hundred eighty-two million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 109 218 436 872 78649577 157299154 314598308 629196616 8572803893 17145607786 34291215572 68582431144