Search a number
-
+
10933000832 = 271317386489
BaseRepresentation
bin10100010111010100…
…00101101010000000
31001012221100222122202
422023222011222000
5134342322011312
65004512052332
7534633654665
oct121352055200
931187328582
1010933000832
114700437386
1221515340a8
131053099980
1475a02da6c
1543ec579c2
hex28ba85a80

10933000832 has 64 divisors (see below), whose sum is σ = 24835847400. Its totient is φ = 4749164544.

The previous prime is 10933000823. The next prime is 10933000873. The reversal of 10933000832 is 23800033901.

It can be written as a sum of positive squares in 4 ways, for example, as 7566216256 + 3366784576 = 86984^2 + 58024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10933000795 and 10933000804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164957 + ... + 221532.

Almost surely, 210933000832 is an apocalyptic number.

It is an amenable number.

10933000832 is an abundant number, since it is smaller than the sum of its proper divisors (13902846568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10933000832 is a wasteful number, since it uses less digits than its factorization.

10933000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386533 (or 386521 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 10933000832 in words is "ten billion, nine hundred thirty-three million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 7072 14144 28288 386489 772978 1545956 3091912 5024357 6183824 6570313 10048714 12367648 13140626 20097428 24735296 26281252 40194856 49470592 52562504 80389712 85414069 105125008 160779424 170828138 210250016 321558848 341656276 420500032 643117696 683312552 841000064 1366625104 2733250208 5466500416 10933000832