Search a number
-
+
10529350400 = 28521645211
BaseRepresentation
bin10011100111001100…
…10010001100000000
31000011210211102100202
421303212102030000
5133031003203100
64500452304332
7521633000402
oct116346221400
930153742322
1010529350400
1145135a8888
12205a3120a8
13cba57a96a
1471c598b72
154195c27d5
hex273992300

10529350400 has 54 divisors (see below), whose sum is σ = 26061803292. Its totient is φ = 4211737600.

The previous prime is 10529350393. The next prime is 10529350411. The reversal of 10529350400 is 405392501.

It is a super-2 number, since 2×105293504002 (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 816206 + ... + 829005.

Almost surely, 210529350400 is an apocalyptic number.

10529350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10529350400 is an abundant number, since it is smaller than the sum of its proper divisors (15532452892).

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

10529350400 is an equidigital number, since it uses as much as digits as its factorization.

10529350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645237 (or 1645218 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 10529350400 in words is "ten billion, five hundred twenty-nine million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 1645211 3290422 6580844 8226055 13161688 16452110 26323376 32904220 41130275 52646752 65808440 82260550 105293504 131616880 164521100 210587008 263233760 329042200 421174016 526467520 658084400 1052935040 1316168800 2105870080 2632337600 5264675200 10529350400