Search a number
-
+
2901903329 = 13534211761
BaseRepresentation
bin1010110011110111…
…1000011111100001
321111020102222000002
42230331320133201
521420341401304
61155541505345
7131624525363
oct25475703741
97436388002
102901903329
11125a059a16
1268ba12255
13373289180
141d758cd33
1511eb6831e
hexacf787e1

2901903329 has 8 divisors (see below), whose sum is σ = 3184092072. Its totient is φ = 2628138240.

The previous prime is 2901903317. The next prime is 2901903359. The reversal of 2901903329 is 9233091092.

It can be written as a sum of positive squares in 4 ways, for example, as 3157729 + 2898745600 = 1777^2 + 53840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-2901903329 is a prime.

It is a super-2 number, since 2×29019033292 = 16842085861722564482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2901903292 and 2901903301.

It is not an unprimeable number, because it can be changed into a prime (2901903359) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2105192 + ... + 2106569.

It is an arithmetic number, because the mean of its divisors is an integer number (398011509).

Almost surely, 22901903329 is an apocalyptic number.

It is an amenable number.

2901903329 is a deficient number, since it is larger than the sum of its proper divisors (282188743).

2901903329 is a wasteful number, since it uses less digits than its factorization.

2901903329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211827.

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 2901903329 is about 53869.3171387943. The cubic root of 2901903329 is about 1426.3550592910.

The spelling of 2901903329 in words is "two billion, nine hundred one million, nine hundred three thousand, three hundred twenty-nine".

Divisors: 1 13 53 689 4211761 54752893 223223333 2901903329