Search a number
-
+
10828404645 = 3537111717467
BaseRepresentation
bin10100001010110110…
…00101011110100101
31000221122112221122220
422011123011132211
5134134032422040
64550254142553
7532223630562
oct120533053645
930848487586
1010828404645
114657396753
1221224b1a59
131037507136
1474a1a3869
154359962d0
hex2856c57a5

10828404645 has 32 divisors (see below), whose sum is σ = 17810652288. Its totient is φ = 5613712128.

The previous prime is 10828404641. The next prime is 10828404647. The reversal of 10828404645 is 54640482801.

10828404645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10828404645 - 22 = 10828404641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10828404597 and 10828404606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828404641) 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 in 31 ways as a sum of consecutive naturals, for example, 611202 + ... + 628668.

It is an arithmetic number, because the mean of its divisors is an integer number (556582884).

Almost surely, 210828404645 is an apocalyptic number.

10828404645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10828404645 is a deficient number, since it is larger than the sum of its proper divisors (6982247643).

10828404645 is a wasteful number, since it uses less digits than its factorization.

10828404645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18629.

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 10828404645 in words is "ten billion, eight hundred twenty-eight million, four hundred four thousand, six hundred forty-five".

Divisors: 1 3 5 15 37 111 185 555 1117 3351 5585 16755 17467 41329 52401 87335 123987 206645 262005 619935 646279 1938837 3231395 9694185 19510639 58531917 97553195 292659585 721893643 2165680929 3609468215 10828404645