Search a number
-
+
13362750400 = 26528351719
BaseRepresentation
bin11000111000111101…
…10110001111000000
31021111021101001110111
430130132312033000
5204331331003100
610045550041104
7652066334656
oct143436661700
937437331414
1013362750400
115737a1917a
12270b1a9194
13134c5a05cc
1490a9d4dd6
155332086ba
hex31c7b63c0

13362750400 has 42 divisors (see below), whose sum is σ = 32880721640. Its totient is φ = 5345099520.

The previous prime is 13362750371. The next prime is 13362750403. The reversal of 13362750400 is 405726331.

13362750400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362750403) 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 5 ways as a sum of consecutive naturals, for example, 4174260 + ... + 4177459.

Almost surely, 213362750400 is an apocalyptic number.

13362750400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13362750400 is an abundant number, since it is smaller than the sum of its proper divisors (19517971240).

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

13362750400 is an equidigital number, since it uses as much as digits as its factorization.

13362750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351741 (or 8351726 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The spelling of 13362750400 in words is "thirteen billion, three hundred sixty-two million, seven hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 8351719 16703438 33406876 41758595 66813752 83517190 133627504 167034380 208792975 267255008 334068760 417585950 534510016 668137520 835171900 1336275040 1670343800 2672550080 3340687600 6681375200 13362750400