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6806580004 = 2272712832
BaseRepresentation
bin1100101011011010…
…00010101100100100
3122120100210002102201
412111231002230210
5102414441030004
63043224344244
7330446655400
oct62555025444
918510702381
106806580004
112983156334
12139b615084
13846213943
14487dac100
1529c85e6a4
hex195b42b24

6806580004 has 81 divisors (see below), whose sum is σ = 14225526651. Its totient is φ = 2841368880.

The previous prime is 6806579947. The next prime is 6806580031. The reversal of 6806580004 is 4000856086.

The square root of 6806580004 is 82502.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82006947 + ... + 82007029.

Almost surely, 26806580004 is an apocalyptic number.

6806580004 is the 82502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6806580004

6806580004 is an abundant number, since it is smaller than the sum of its proper divisors (7418946647).

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

6806580004 is an equidigital number, since it uses as much as digits as its factorization.

6806580004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 6806580004 is about 1895.1473586278.

The spelling of 6806580004 in words is "six billion, eight hundred six million, five hundred eighty thousand, four".

Divisors: 1 2 4 7 14 28 49 71 83 98 142 166 196 284 332 497 581 994 1162 1988 2324 3479 4067 5041 5893 6889 6958 8134 10082 11786 13778 13916 16268 20164 23572 27556 35287 41251 48223 70574 82502 96446 141148 165004 192892 247009 288757 337561 418403 489119 494018 577514 675122 836806 978238 988036 1155028 1350244 1673612 1956476 2928821 3423833 5857642 6847666 11715284 13695332 20501747 23966831 34727449 41003494 47933662 69454898 82006988 95867324 138909796 243092143 486184286 972368572 1701645001 3403290002 6806580004