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12542350400 = 26527838969
BaseRepresentation
bin10111010111001010…
…10001010001000000
31012101002122102020022
423223211101101000
5201141320203100
65432322033012
7622545135146
oct135345212100
935332572208
1012542350400
115356914548
1225204a8768
13124b627218
1486da79596
154d61a1e85
hex2eb951440

12542350400 has 42 divisors (see below), whose sum is σ = 30862024890. Its totient is φ = 5016939520.

The previous prime is 12542350397. The next prime is 12542350417. The reversal of 12542350400 is 405324521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 155550784 + 12386799616 = 12472^2 + 111296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12542350400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3917885 + ... + 3921084.

Almost surely, 212542350400 is an apocalyptic number.

12542350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12542350400 is an abundant number, since it is smaller than the sum of its proper divisors (18319674490).

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

12542350400 is an equidigital number, since it uses as much as digits as its factorization.

12542350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838991 (or 7838976 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 12542350400 its reverse (405324521), we get a palindrome (12947674921).

The spelling of 12542350400 in words is "twelve billion, five hundred forty-two million, three 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 7838969 15677938 31355876 39194845 62711752 78389690 125423504 156779380 195974225 250847008 313558760 391948450 501694016 627117520 783896900 1254235040 1567793800 2508470080 3135587600 6271175200 12542350400