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6810715968 = 263710349199
BaseRepresentation
bin1100101011111001…
…10100011101000000
3122120122120012220120
412111330310131000
5102422020402333
63043453140240
7330530062530
oct62574643500
918518505816
106810715968
112985520791
1213a0a8a680
13847031364
144887674c0
1529cdc9db3
hex195f34740

6810715968 has 112 divisors (see below), whose sum is σ = 20794675200. Its totient is φ = 1926987264.

The previous prime is 6810715963. The next prime is 6810715969. The reversal of 6810715968 is 8695170186.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 6810715968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6810715963) 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, 113833 + ... + 163031.

Almost surely, 26810715968 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 6810715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10397337600).

6810715968 is an abundant number, since it is smaller than the sum of its proper divisors (13983959232).

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

6810715968 is a wasteful number, since it uses less digits than its factorization.

6810715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49324 (or 49314 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 6810715968 is about 82527.0620342200. The cubic root of 6810715968 is about 1895.5311379591.

The spelling of 6810715968 in words is "six billion, eight hundred ten million, seven hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2884 3296 4326 4944 5768 6592 8652 9888 11536 17304 19776 23072 34608 46144 49199 69216 98398 138432 147597 196796 295194 344393 393592 590388 688786 787184 1033179 1180776 1377572 1574368 2066358 2361552 2755144 3148736 4132716 4723104 5067497 5510288 8265432 9446208 10134994 11020576 15202491 16530864 20269988 22041152 30404982 33061728 35472479 40539976 60809964 66123456 70944958 81079952 106417437 121619928 141889916 162159904 212834874 243239856 283779832 324319808 425669748 486479712 567559664 851339496 972959424 1135119328 1702678992 2270238656 3405357984 6810715968