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6819724112 = 241923242407
BaseRepresentation
bin1100101100111110…
…01011101101010000
3122121021111212202112
412112133023231100
5102431322132422
63044414204452
7330666461405
oct62637135520
918537455675
106819724112
11298a613733
1213a3ab3728
13848b66616
14489a302ac
1529daa8ee2
hex1967cbb50

6819724112 has 60 divisors (see below), whose sum is σ = 14540006880. Its totient is φ = 3089870784.

The previous prime is 6819724099. The next prime is 6819724117. The reversal of 6819724112 is 2114279186.

It is a self number, because there is not a number n which added to its sum of digits gives 6819724112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6819724117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139613 + ... + 182019.

It is an arithmetic number, because the mean of its divisors is an integer number (242333448).

Almost surely, 26819724112 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 6819724112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270003440).

6819724112 is an abundant number, since it is smaller than the sum of its proper divisors (7720282768).

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

6819724112 is a wasteful number, since it uses less digits than its factorization.

6819724112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42480 (or 42451 counting only the distinct ones).

The product of its digits is 48384, while the sum is 41.

The square root of 6819724112 is about 82581.6209092556. The cubic root of 6819724112 is about 1896.3664732805.

The spelling of 6819724112 in words is "six billion, eight hundred nineteen million, seven hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 529 874 1058 1748 2116 3496 4232 6992 8464 10051 20102 40204 42407 80408 84814 160816 169628 339256 678512 805733 975361 1611466 1950722 3222932 3901444 6445864 7802888 12891728 15605776 18531859 22433303 37063718 44866606 74127436 89733212 148254872 179466424 296509744 358932848 426232757 852465514 1704931028 3409862056 6819724112