Search a number
-
+
9682976660 = 2257472236599
BaseRepresentation
bin10010000010010011…
…00111111110010100
3220222211020011212012
421001021213332110
5124312320223120
64240455443352
7461644641440
oct110111477624
926884204765
109682976660
114119873755
121a62986558
13bb410c0b6
1467bddb820
153ba13a1c5
hex241267f94

9682976660 has 96 divisors (see below), whose sum is σ = 23843635200. Its totient is φ = 3234181248.

The previous prime is 9682976659. The next prime is 9682976687. The reversal of 9682976660 is 666792869.

It is a self number, because there is not a number n which added to its sum of digits gives 9682976660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464041 + ... + 1470639.

It is an arithmetic number, because the mean of its divisors is an integer number (248371200).

Almost surely, 29682976660 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 9682976660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11921817600).

9682976660 is an abundant number, since it is smaller than the sum of its proper divisors (14160658540).

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

9682976660 is a wasteful number, since it uses less digits than its factorization.

9682976660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The square root of 9682976660 is about 98402.1171520207. The cubic root of 9682976660 is about 2131.4229040070.

The spelling of 9682976660 in words is "nine billion, six hundred eighty-two million, nine hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 223 235 329 446 470 658 892 940 1115 1316 1561 1645 2230 3122 3290 4460 6244 6580 6599 7805 10481 13198 15610 20962 26396 31220 32995 41924 46193 52405 65990 73367 92386 104810 131980 146734 184772 209620 230965 293468 310153 366835 461930 620306 733670 923860 1240612 1467340 1471577 1550765 2171071 2943154 3101530 4342142 5886308 6203060 7357885 8684284 10301039 10855355 14715770 20602078 21710710 29431540 41204156 43421420 51505195 69164119 103010390 138328238 206020780 276656476 345820595 484148833 691641190 968297666 1383282380 1936595332 2420744165 4841488330 9682976660