Search a number
-
+
132261706710 = 23357306722817
BaseRepresentation
bin111101100101101101…
…0010111101111010110
3110122101112201211222000
41323023122113233112
54131332444103320
6140432111220130
712361365646320
oct1731332275726
9418345654860
10132261706710
1151101315931
1221772217646
13c61a62cc23
146589a0a610
1536916bdc90
hex1ecb697bd6

132261706710 has 128 divisors (see below), whose sum is σ = 403232394240. Its totient is φ = 30220065792.

The previous prime is 132261706699. The next prime is 132261706711. The reversal of 132261706710 is 17607162231.

It is a happy number.

132261706710 is a `hidden beast` number, since 1 + 3 + 22 + 617 + 0 + 6 + 7 + 10 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132261706711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5785222 + ... + 5808038.

It is an arithmetic number, because the mean of its divisors is an integer number (3150253080).

Almost surely, 2132261706710 is an apocalyptic number.

132261706710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132261706710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201616197120).

132261706710 is an abundant number, since it is smaller than the sum of its proper divisors (270970687530).

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

132261706710 is a wasteful number, since it uses less digits than its factorization.

132261706710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25907 (or 25901 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 132261706710 its reverse (17607162231), we get a palindrome (149868868941).

The spelling of 132261706710 in words is "one hundred thirty-two billion, two hundred sixty-one million, seven hundred six thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 3067 6134 9201 15335 18402 21469 22817 27603 30670 42938 45634 46005 55206 64407 68451 82809 92010 107345 114085 128814 136902 138015 159719 165618 193221 205353 214690 228170 276030 319438 322035 342255 386442 410706 414045 479157 579663 616059 644070 684510 798595 828090 958314 966105 1026765 1159326 1232118 1437471 1597190 1932210 2053530 2395785 2874942 2898315 3080295 4312413 4791570 5796630 6160590 7187355 8624826 14374710 21562065 43124130 69979739 139959478 209939217 349898695 419878434 489858173 629817651 699797390 979716346 1049696085 1259635302 1469574519 1889452953 2099392170 2449290865 2939149038 3149088255 3778905906 4408723557 4898581730 6298176510 7347872595 8817447114 9447264765 13226170671 14695745190 18894529530 22043617785 26452341342 44087235570 66130853355 132261706710