Search a number
-
+
2129906826 = 23413147573
BaseRepresentation
bin111111011110011…
…1100110010001010
312111102210110220000
41332330330302022
513330224004301
6551203143430
7103531623615
oct17674746212
95442713800
102129906826
119a3305583
124b5374b76
1327c35c5c8
14162c3317c
15c6ec3786
hex7ef3cc8a

2129906826 has 20 divisors (see below), whose sum is σ = 4772569362. Its totient is φ = 709968888.

The previous prime is 2129906809. The next prime is 2129906839. The reversal of 2129906826 is 6286099212.

It can be written as a sum of positive squares in only one way, i.e., 1576010601 + 553896225 = 39699^2 + 23535^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 9 ways as a sum of consecutive naturals, for example, 6573625 + ... + 6573948.

Almost surely, 22129906826 is an apocalyptic number.

2129906826 is an abundant number, since it is smaller than the sum of its proper divisors (2642662536).

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

2129906826 is a wasteful number, since it uses less digits than its factorization.

2129906826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13147587 (or 13147578 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2129906826 is about 46150.9135987577. The cubic root of 2129906826 is about 1286.6295900467.

The spelling of 2129906826 in words is "two billion, one hundred twenty-nine million, nine hundred six thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 13147573 26295146 39442719 78885438 118328157 236656314 354984471 709968942 1064953413 2129906826