Search a number
-
+
214636609768 = 237191071885291
BaseRepresentation
bin1100011111100101010…
…1101100000011101000
3202112000101122111111111
43013321111230003220
512004033433003033
6242334103240104
721335616036460
oct3077125540350
9675011574444
10214636609768
1183032852809
1235721449034
13173177a4309
14a561d50ba0
1558b34077cd
hex31f956c0e8

214636609768 has 64 divisors (see below), whose sum is σ = 488667686400. Its totient is φ = 86331199680.

The previous prime is 214636609723. The next prime is 214636609777. The reversal of 214636609768 is 867906636412.

It is a happy number.

214636609768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 828798 + ... + 1056493.

It is an arithmetic number, because the mean of its divisors is an integer number (7635432600).

Almost surely, 2214636609768 is an apocalyptic number.

214636609768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214636609768 is an abundant number, since it is smaller than the sum of its proper divisors (274031076632).

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

214636609768 is a wasteful number, since it uses less digits than its factorization.

214636609768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885430 (or 1885426 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 214636609768 in words is "two hundred fourteen billion, six hundred thirty-six million, six hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 107 133 152 214 266 428 532 749 856 1064 1498 2033 2996 4066 5992 8132 14231 16264 28462 56924 113848 1885291 3770582 7541164 13197037 15082328 26394074 35820529 52788148 71641058 105576296 143282116 201726137 250743703 286564232 403452274 501487406 806904548 1002974812 1412082959 1613809096 2005949624 2824165918 3832796603 5648331836 7665593206 11296663672 15331186412 26829576221 30662372824 53659152442 107318304884 214636609768