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10012433440 = 25562577709
BaseRepresentation
bin10010101001100100…
…11001110000100000
3221211210011022121011
421110302121300200
5131001140332230
64333305110304
7503055165022
oct112462316040
927753138534
1010012433440
114278837489
121b35188394
13c37451839
146ada7c012
153d9016e2a
hex254c99c20

10012433440 has 24 divisors (see below), whose sum is σ = 23654374380. Its totient is φ = 4004973312.

The previous prime is 10012433381. The next prime is 10012433443. The reversal of 10012433440 is 4433421001.

It can be written as a sum of positive squares in 2 ways, for example, as 9002973456 + 1009459984 = 94884^2 + 31772^2 .

It is not an unprimeable number, because it can be changed into a prime (10012433443) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 31288695 + ... + 31289014.

Almost surely, 210012433440 is an apocalyptic number.

10012433440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012433440 is an abundant number, since it is smaller than the sum of its proper divisors (13641940940).

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

10012433440 is an equidigital number, since it uses as much as digits as its factorization.

10012433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62577724 (or 62577716 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10012433440 its reverse (4433421001), we get a palindrome (14445854441).

The spelling of 10012433440 in words is "ten billion, twelve million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 62577709 125155418 250310836 312888545 500621672 625777090 1001243344 1251554180 2002486688 2503108360 5006216720 10012433440