Search a number
-
+
6824042868 = 2232321074991
BaseRepresentation
bin1100101101011111…
…01010000101110100
3122121120122021222110
412112233222011310
5102433423332433
63045050531020
7331051256466
oct62657520564
918546567873
106824042868
112991aa3455
1213a5436a70
13849a192b6
1448a436136
1529e15d963
hex196bea174

6824042868 has 36 divisors (see below), whose sum is σ = 16645176128. Its totient is φ = 2175779760.

The previous prime is 6824042851. The next prime is 6824042899. The reversal of 6824042868 is 8682404286.

It is a super-3 number, since 3×68240428683 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531148 + ... + 543843.

Almost surely, 26824042868 is an apocalyptic number.

It is an amenable number.

6824042868 is an abundant number, since it is smaller than the sum of its proper divisors (9821133260).

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

6824042868 is a wasteful number, since it uses less digits than its factorization.

6824042868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075044 (or 1075019 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 6824042868 is about 82607.7651797941. The cubic root of 6824042868 is about 1896.7666955247.

The spelling of 6824042868 in words is "six billion, eight hundred twenty-four million, forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 529 1058 1587 2116 3174 6348 1074991 2149982 3224973 4299964 6449946 12899892 24724793 49449586 74174379 98899172 148348758 296697516 568670239 1137340478 1706010717 2274680956 3412021434 6824042868