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6112288944 = 243346330559
BaseRepresentation
bin1011011000101001…
…00010000010110000
3120202222100110011000
411230110202002300
5100004221221234
62450303322000
7304316412246
oct55424420260
916688313130
106112288944
112657256173
121226bb0300
13765422c28
1441dabc796
1525b918899
hex16c5220b0

6112288944 has 80 divisors (see below), whose sum is σ = 17583001600. Its totient is φ = 2032962624.

The previous prime is 6112288943. The next prime is 6112288951. The reversal of 6112288944 is 4498822116.

6112288944 is a `hidden beast` number, since 611 + 2 + 28 + 8 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×61122889442 = 74720152269889270272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6112288944.

It is not an unprimeable number, because it can be changed into a prime (6112288943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184737 + ... + 215295.

It is an arithmetic number, because the mean of its divisors is an integer number (219787520).

Almost surely, 26112288944 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 6112288944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791500800).

6112288944 is an abundant number, since it is smaller than the sum of its proper divisors (11470712656).

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

6112288944 is a wasteful number, since it uses less digits than its factorization.

6112288944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31039 (or 31027 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 6112288944 is about 78181.1290785698. The cubic root of 6112288944 is about 1828.3863011846.

The spelling of 6112288944 in words is "six billion, one hundred twelve million, two hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 463 926 1389 1852 2778 3704 4167 5556 7408 8334 11112 12501 16668 22224 25002 30559 33336 50004 61118 66672 91677 100008 122236 183354 200016 244472 275031 366708 488944 550062 733416 825093 1100124 1466832 1650186 2200248 3300372 4400496 6600744 13201488 14148817 28297634 42446451 56595268 84892902 113190536 127339353 169785804 226381072 254678706 339571608 382018059 509357412 679143216 764036118 1018714824 1528072236 2037429648 3056144472 6112288944