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10404424420 = 22513371081541
BaseRepresentation
bin10011011000010011…
…01110101011100100
3222212002202112010121
421230021232223210
5132302013040140
64440230531324
7515555101615
oct115411565344
928762675117
1010404424420
11445a032075
122024506b44
13c9a71a870
14709b59c0c
1540d64764a
hex26c26eae4

10404424420 has 48 divisors (see below), whose sum is σ = 24165974448. Its totient is φ = 3737802240.

The previous prime is 10404424367. The next prime is 10404424427. The reversal of 10404424420 is 2442440401.

10404424420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1006285284 + 9398139136 = 31722^2 + 96944^2 .

It is a super-2 number, since 2×104044244202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10404424427) 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 15 ways as a sum of consecutive naturals, for example, 531151 + ... + 550390.

It is an arithmetic number, because the mean of its divisors is an integer number (503457801).

Almost surely, 210404424420 is an apocalyptic number.

10404424420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404424420 is an abundant number, since it is smaller than the sum of its proper divisors (13761550028).

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

10404424420 is a wasteful number, since it uses less digits than its factorization.

10404424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081600 (or 1081598 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 10404424420 its reverse (2442440401), we get a palindrome (12846864821).

The spelling of 10404424420 in words is "ten billion, four hundred four million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 1081541 2163082 4326164 5407705 10815410 14060033 21630820 28120066 40017017 56240132 70300165 80034034 140600330 160068068 200085085 281200660 400170170 520221221 800340340 1040442442 2080884884 2601106105 5202212210 10404424420