Search a number
-
+
15582984973 is a prime number
BaseRepresentation
bin11101000001101000…
…10111101100001101
31111020000010122201121
432200310113230031
5223403221004343
611054141240541
71061106121033
oct164064275415
944200118647
1015582984973
116677209286
12302a863151
13161456808a
14a7b81c553
156130c0aed
hex3a0d17b0d

15582984973 has 2 divisors, whose sum is σ = 15582984974. Its totient is φ = 15582984972.

The previous prime is 15582984959. The next prime is 15582984983. The reversal of 15582984973 is 37948928551.

15582984973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8900412964 + 6682572009 = 94342^2 + 81747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15582984973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15582984983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7791492486 + 7791492487.

It is an arithmetic number, because the mean of its divisors is an integer number (7791492487).

Almost surely, 215582984973 is an apocalyptic number.

It is an amenable number.

15582984973 is a deficient number, since it is larger than the sum of its proper divisors (1).

15582984973 is an equidigital number, since it uses as much as digits as its factorization.

15582984973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21772800, while the sum is 61.

The spelling of 15582984973 in words is "fifteen billion, five hundred eighty-two million, nine hundred eighty-four thousand, nine hundred seventy-three".