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6804437112 = 23321110338317
BaseRepresentation
bin1100101011001001…
…10111100001111000
3122120012202012221100
412111210313201320
5102413413441422
63043110411400
7330422522034
oct62544674170
918505665840
106804437112
112981a22350
12139a960b60
13845943465
144879b11c4
1529c5897ac
hex195937878

6804437112 has 96 divisors (see below), whose sum is σ = 20125900080. Its totient is φ = 2059706880.

The previous prime is 6804437099. The next prime is 6804437117. The reversal of 6804437112 is 2117344086.

It is a super-2 number, since 2×68044371122 = 92600728822325801088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6804437117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813978 + ... + 822294.

Almost surely, 26804437112 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 6804437112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10062950040).

6804437112 is an abundant number, since it is smaller than the sum of its proper divisors (13321462968).

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

6804437112 is a wasteful number, since it uses less digits than its factorization.

6804437112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6804437112 is about 82489.0120682749. The cubic root of 6804437112 is about 1894.9484568609.

The spelling of 6804437112 in words is "six billion, eight hundred four million, four hundred thirty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1033 2066 3099 4132 6198 8264 8317 9297 11363 12396 16634 18594 22726 24792 24951 33268 34089 37188 45452 49902 66536 68178 74376 74853 90904 91487 99804 102267 136356 149706 182974 199608 204534 272712 274461 299412 365948 409068 548922 598824 731896 818136 823383 1097844 1646766 2195688 3293532 6587064 8591461 17182922 25774383 34365844 51548766 68731688 77323149 94506071 103097532 154646298 189012142 206195064 283518213 309292596 378024284 567036426 618585192 756048568 850554639 1134072852 1701109278 2268145704 3402218556 6804437112