Search a number
-
+
17982028971 = 333752134549
BaseRepresentation
bin10000101111110011…
…111111110010101011
31201102012100201102000
4100233303333302223
5243311344411341
612132201142043
71204416503304
oct205763776253
951365321360
1017982028971
117698428575
12359a18a923
1319075aa83a
14c282ad7ab
15703a088b6
hex42fcffcab

17982028971 has 32 divisors (see below), whose sum is σ = 27413352000. Its totient is φ = 11641294080.

The previous prime is 17982028951. The next prime is 17982028979.

17982028971 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 17982028971 - 26 = 17982028907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17982028979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503205 + ... + 537753.

It is an arithmetic number, because the mean of its divisors is an integer number (856667250).

Almost surely, 217982028971 is an apocalyptic number.

17982028971 is a deficient number, since it is larger than the sum of its proper divisors (9431323029).

17982028971 is a wasteful number, since it uses less digits than its factorization.

17982028971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35116 (or 35110 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 17982028971 in words is "seventeen billion, nine hundred eighty-two million, twenty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 9 27 37 111 333 521 999 1563 4689 14067 19277 34549 57831 103647 173493 310941 520479 932823 1278313 3834939 11504817 18000029 34514451 54000087 162000261 486000783 666001073 1998003219 5994009657 17982028971