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10256027540 = 22511283164729
BaseRepresentation
bin10011000110100111…
…01000111110010100
3222110202112011212212
421203103220332110
5132001020340130
64413410132552
7512103536633
oct114323507624
928422464785
1010256027540
114393295320
121ba2881158
13c75a60565
146d416b51a
154005d2e95
hex2634e8f94

10256027540 has 48 divisors (see below), whose sum is σ = 23578793280. Its totient is φ = 3716263680.

The previous prime is 10256027531. The next prime is 10256027581. The reversal of 10256027540 is 4572065201.

10256027540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102560275402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10256027497 and 10256027506.

It is a congruent number.

It is an unprimeable number.

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, 20105 + ... + 144624.

It is an arithmetic number, because the mean of its divisors is an integer number (491224860).

Almost surely, 210256027540 is an apocalyptic number.

10256027540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10256027540 is an abundant number, since it is smaller than the sum of its proper divisors (13322765740).

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

10256027540 is a wasteful number, since it uses less digits than its factorization.

10256027540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165032 (or 165030 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 10256027540 in words is "ten billion, two hundred fifty-six million, twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 283 566 1132 1415 2830 3113 5660 6226 12452 15565 31130 62260 164729 329458 658916 823645 1647290 1812019 3294580 3624038 7248076 9060095 18120190 36240380 46618307 93236614 186473228 233091535 466183070 512801377 932366140 1025602754 2051205508 2564006885 5128013770 10256027540