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2686670010 = 23251371931129
BaseRepresentation
bin1010000000100011…
…0101010010111010
320221020102222101200
42200020311102322
521000241420020
61122332355030
7123402214113
oct24010652272
96836388350
102686670010
111159611a42
1262b915a76
1333a7ca28b
141b6b6320a
1510ad00590
hexa02354ba

2686670010 has 96 divisors (see below), whose sum is σ = 7079052240. Its totient is φ = 706904064.

The previous prime is 2686669927. The next prime is 2686670023. The reversal of 2686670010 is 100766862.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 366224769 + 2320445241 = 19137^2 + 48171^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2379126 + ... + 2380254.

Almost surely, 22686670010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2686670010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539526120).

2686670010 is an abundant number, since it is smaller than the sum of its proper divisors (4392382230).

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

2686670010 is a wasteful number, since it uses less digits than its factorization.

2686670010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2686670010 is about 51833.0976307610. The cubic root of 2686670010 is about 1390.1813006446.

The spelling of 2686670010 in words is "two billion, six hundred eighty-six million, six hundred seventy thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 193 274 386 411 579 685 822 965 1129 1158 1233 1370 1737 1930 2055 2258 2466 2895 3387 3474 4110 5645 5790 6165 6774 8685 10161 11290 12330 16935 17370 20322 26441 33870 50805 52882 79323 101610 132205 154673 158646 217897 237969 264410 309346 396615 435794 464019 475938 653691 773365 793230 928038 1089485 1189845 1307382 1392057 1546730 1961073 2178970 2320095 2379690 2784114 3268455 3922146 4640190 6536910 6960285 9805365 13920570 19610730 29851889 59703778 89555667 149259445 179111334 268667001 298518890 447778335 537334002 895556670 1343335005 2686670010