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6997849344 = 28325951479
BaseRepresentation
bin1101000010001101…
…01011010100000000
3200001200200120122100
412201012223110000
5103312422134334
63114220110400
7335261511063
oct64106532400
920050616570
106997849344
112a71115872
121433695400
13876a32075
144a555a8da
152ae541c99
hex1a11ab500

6997849344 has 108 divisors (see below), whose sum is σ = 20518898400. Its totient is φ = 2293036032.

The previous prime is 6997849303. The next prime is 6997849361. The reversal of 6997849344 is 4439487996.

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, 110197 + ... + 161675.

It is an arithmetic number, because the mean of its divisors is an integer number (189989800).

Almost surely, 26997849344 is an apocalyptic number.

6997849344 is a gapful number since it is divisible by the number (64) 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 6997849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259449200).

6997849344 is an abundant number, since it is smaller than the sum of its proper divisors (13521049056).

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

6997849344 is a wasteful number, since it uses less digits than its factorization.

6997849344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51560 (or 51543 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 6997849344 is about 83653.1490381564. The cubic root of 6997849344 is about 1912.7352552330.

The spelling of 6997849344 in words is "six billion, nine hundred ninety-seven million, eight hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 531 576 708 768 944 1062 1152 1416 1888 2124 2304 2832 3776 4248 5664 7552 8496 11328 15104 16992 22656 33984 45312 51479 67968 102958 135936 154437 205916 308874 411832 463311 617748 823664 926622 1235496 1647328 1853244 2470992 3037261 3294656 3706488 4941984 6074522 6589312 7412976 9111783 9883968 12149044 13178624 14825952 18223566 19767936 24298088 27335349 29651904 36447132 39535872 48596176 54670698 59303808 72894264 97192352 109341396 118607616 145788528 194384704 218682792 291577056 388769408 437365584 583154112 777538816 874731168 1166308224 1749462336 2332616448 3498924672 6997849344