Search a number
-
+
128790097821 = 3371161948099
BaseRepresentation
bin111011111110001111…
…1001110111110011101
3110022102121021211212000
41313330133032332131
54102230231112241
6135055414432513
712206352524520
oct1677437167635
9408377254760
10128790097821
114a68a71a780
1220b63662739
13c1b6324198
14633a91cbb7
15353ba1deb6
hex1dfc7cef9d

128790097821 has 32 divisors (see below), whose sum is σ = 237880704000. Its totient is φ = 66903945840.

The previous prime is 128790097817. The next prime is 128790097829.

128790097821 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 128790097821 - 22 = 128790097817 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128790097829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30971971 + ... + 30976128.

It is an arithmetic number, because the mean of its divisors is an integer number (7433772000).

Almost surely, 2128790097821 is an apocalyptic number.

128790097821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128790097821 is a deficient number, since it is larger than the sum of its proper divisors (109090606179).

128790097821 is a wasteful number, since it uses less digits than its factorization.

128790097821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61948126 (or 61948120 counting only the distinct ones).

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

The spelling of 128790097821 in words is "one hundred twenty-eight billion, seven hundred ninety million, ninety-seven thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 61948099 185844297 433636693 557532891 681429089 1300910079 1672598673 2044287267 3902730237 4770003623 6132861801 11708190711 14310010869 18398585403 42930032607 128790097821