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10253324736 = 26356471019
BaseRepresentation
bin10011000110010010…
…10101000111000000
3222110120102212100000
421203021111013000
5131444322342421
64413232200000
7512041552014
oct114311250700
928416385300
1010253324736
1143918096a6
121ba1999000
13c75325275
146d3a66544
1540024c226
hex2632551c0

10253324736 has 168 divisors, whose sum is σ = 30554858880. Its totient is φ = 3409143552.

The previous prime is 10253324723. The next prime is 10253324737. The reversal of 10253324736 is 63742335201.

10253324736 is a `hidden beast` number, since 10 + 253 + 324 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10253324736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253324737) 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 23 ways as a sum of consecutive naturals, for example, 10061635 + ... + 10062653.

It is an arithmetic number, because the mean of its divisors is an integer number (181874160).

Almost surely, 210253324736 is an apocalyptic number.

10253324736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10253324736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277429440).

10253324736 is an abundant number, since it is smaller than the sum of its proper divisors (20301534144).

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

10253324736 is an equidigital number, since it uses as much as digits as its factorization.

10253324736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 10253324736 its reverse (63742335201), we get a palindrome (73995659937).

The spelling of 10253324736 in words is "ten billion, two hundred fifty-three million, three hundred twenty-four thousand, seven hundred thirty-six".