Search a number
-
+
2129208795 = 33572299839
BaseRepresentation
bin111111011101001…
…0010010111011011
312111101111000101000
41332322102113123
513330034140140
6551140200043
7103522655550
oct17672222733
95441430330
102129208795
119a297909a
124b5099023
1327c17697c
14162ad0a27
15c6dd6a30
hex7ee925db

2129208795 has 64 divisors (see below), whose sum is σ = 4345344000. Its totient is φ = 969003648.

The previous prime is 2129208791. The next prime is 2129208821. The reversal of 2129208795 is 5978029212.

It is a happy number.

It is not a de Polignac number, because 2129208795 - 22 = 2129208791 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2129208795.

It is not an unprimeable number, because it can be changed into a prime (2129208791) 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, 211486 + ... + 221324.

It is an arithmetic number, because the mean of its divisors is an integer number (67896000).

Almost surely, 22129208795 is an apocalyptic number.

2129208795 is an abundant number, since it is smaller than the sum of its proper divisors (2216135205).

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

2129208795 is a wasteful number, since it uses less digits than its factorization.

2129208795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10089 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2129208795 is about 46143.3504960357. The cubic root of 2129208795 is about 1286.4890196614.

The spelling of 2129208795 in words is "two billion, one hundred twenty-nine million, two hundred eight thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 229 315 687 945 1145 1603 2061 3435 4809 6183 8015 9839 10305 14427 24045 29517 30915 43281 49195 68873 72135 88551 147585 206619 216405 265653 344365 442755 619857 1033095 1328265 1859571 2253131 3099285 6759393 9297855 11265655 15771917 20278179 33796965 47315751 60834537 78859585 101390895 141947253 236578755 304172685 425841759 709736265 2129208795