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5682905010 = 23251718472011
BaseRepresentation
bin1010100101011101…
…00011111110110010
3112200001101111010100
411102232203332302
543114310430020
62335524213230
7260553616116
oct52256437662
915601344110
105682905010
112456940712
12112723a216
136c7493bb3
143bca69746
15233d9da90
hex152ba3fb2

5682905010 has 96 divisors (see below), whose sum is σ = 15660957312. Its totient is φ = 1424816640.

The previous prime is 5682905009. The next prime is 5682905023. The reversal of 5682905010 is 105092865.

It is a happy number.

5682905010 is a `hidden beast` number, since 5 + 68 + 2 + 90 + 501 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2824905 + ... + 2826915.

It is an arithmetic number, because the mean of its divisors is an integer number (163134972).

Almost surely, 25682905010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5682905010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830478656).

5682905010 is an abundant number, since it is smaller than the sum of its proper divisors (9978052302).

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

5682905010 is a wasteful number, since it uses less digits than its factorization.

5682905010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5682905010 is about 75385.0450023080. The cubic root of 5682905010 is about 1784.5284068296.

Adding to 5682905010 its reverse (105092865), we get a palindrome (5787997875).

The spelling of 5682905010 in words is "five billion, six hundred eighty-two million, nine hundred five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1847 2011 3694 4022 5541 6033 9235 10055 11082 12066 16623 18099 18470 20110 27705 30165 31399 33246 34187 36198 55410 60330 62798 68374 83115 90495 94197 102561 156995 166230 170935 180990 188394 205122 282591 307683 313990 341870 470985 512805 565182 615366 941970 1025610 1412955 1538415 2825910 3076830 3714317 7428634 11142951 18571585 22285902 33428853 37143170 55714755 63143389 66857706 111429510 126286778 167144265 189430167 315716945 334288530 378860334 568290501 631433890 947150835 1136581002 1894301670 2841452505 5682905010