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6801138732 = 22323317310889
BaseRepresentation
bin1100101010110000…
…10010010000101100
3122112222112122102010
412111120102100230
5102412042414412
63042512001220
7330352503543
oct62530222054
918488478363
106801138732
11298007a213
121399830210
1384505a05b
1448739315a
1529c13733c
hex19561242c

6801138732 has 96 divisors (see below), whose sum is σ = 17329213440. Its totient is φ = 2069591040.

The previous prime is 6801138691. The next prime is 6801138733. The reversal of 6801138732 is 2378311086.

It is not an unprimeable number, because it can be changed into a prime (6801138733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619144 + ... + 630032.

It is an arithmetic number, because the mean of its divisors is an integer number (180512640).

Almost surely, 26801138732 is an apocalyptic number.

6801138732 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801138732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664606720).

6801138732 is an abundant number, since it is smaller than the sum of its proper divisors (10528074708).

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

6801138732 is a wasteful number, since it uses less digits than its factorization.

6801138732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11023 (or 11021 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 6801138732 is about 82469.0168002505. The cubic root of 6801138732 is about 1894.6422218667.

The spelling of 6801138732 in words is "six billion, eight hundred one million, one hundred thirty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 73 92 93 124 138 146 186 219 276 292 372 438 713 876 1426 1679 2139 2263 2852 3358 4278 4526 5037 6716 6789 8556 9052 10074 10889 13578 20148 21778 27156 32667 43556 52049 65334 104098 130668 156147 208196 250447 312294 337559 500894 624588 675118 751341 794897 1001788 1012677 1350236 1502682 1589794 2025354 2384691 3005364 3179588 4050708 4769382 7763857 9538764 15527714 18282631 23291571 24641807 31055428 36565262 46583142 49283614 54847893 73130524 73925421 93166284 98567228 109695786 147850842 219391572 295701684 566761561 1133523122 1700284683 2267046244 3400569366 6801138732