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10250254144 = 261312320017
BaseRepresentation
bin10011000101111011…
…00111011101000000
3222110100122212021101
421202331213131000
5131443031113034
64413042304144
7512003502604
oct114275473500
928410585241
1010250254144
114390001719
121ba0958054
13c747bb750
146d34a7504
153eed42514
hex262f67740

10250254144 has 28 divisors (see below), whose sum is σ = 21904992004. Its totient is φ = 4730886144.

The previous prime is 10250254127. The next prime is 10250254153. The reversal of 10250254144 is 44145205201.

10250254144 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 2 ways, for example, as 1232852544 + 9017401600 = 35112^2 + 94960^2 .

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 3 ways as a sum of consecutive naturals, for example, 6159177 + ... + 6160840.

It is an arithmetic number, because the mean of its divisors is an integer number (782321143).

Almost surely, 210250254144 is an apocalyptic number.

It is an amenable number.

10250254144 is an abundant number, since it is smaller than the sum of its proper divisors (11654737860).

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

10250254144 is a wasteful number, since it uses less digits than its factorization.

10250254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320042 (or 12320032 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 10250254144 its reverse (44145205201), we get a palindrome (54395459345).

The spelling of 10250254144 in words is "ten billion, two hundred fifty million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 12320017 24640034 49280068 98560136 160160221 197120272 320320442 394240544 640640884 788481088 1281281768 2562563536 5125127072 10250254144