Search a number
-
+
6638244660 = 22325172169361
BaseRepresentation
bin1100010111010101…
…11001001100110100
3122010122000202202100
412023222321030310
5102043342312120
63014412342100
7323334101655
oct61352711464
918118022670
106638244660
1128a7130513
121353174930
1381a395228
1446d8ad52c
1528cbac490
hex18bab9334

6638244660 has 72 divisors (see below), whose sum is σ = 21320489736. Its totient is φ = 1666068480.

The previous prime is 6638244653. The next prime is 6638244689. The reversal of 6638244660 is 664428366.

6638244660 is a `hidden beast` number, since 6 + 638 + 2 + 4 + 4 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1314207504 + 5324037156 = 36252^2 + 72966^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081621 + ... + 1087740.

It is an arithmetic number, because the mean of its divisors is an integer number (296117913).

Almost surely, 26638244660 is an apocalyptic number.

6638244660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6638244660 is an abundant number, since it is smaller than the sum of its proper divisors (14682245076).

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

6638244660 is a wasteful number, since it uses less digits than its factorization.

6638244660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169393 (or 2169388 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 6638244660 is about 81475.4236564622. The cubic root of 6638244660 is about 1879.3936346116.

The spelling of 6638244660 in words is "six billion, six hundred thirty-eight million, two hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 2169361 4338722 6508083 8677444 10846805 13016166 19524249 21693610 26032332 32540415 36879137 39048498 43387220 65080830 73758274 78096996 97621245 110637411 130161660 147516548 184395685 195242490 221274822 331912233 368791370 390484980 442549644 553187055 663824466 737582740 1106374110 1327648932 1659561165 2212748220 3319122330 6638244660