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10404125568 = 27335379719
BaseRepresentation
bin10011011000010001…
…00101101110000000
3222212002012100012000
421230020211232000
5132301424004233
64440220304000
7515552415414
oct115410455600
928762170160
1010404125568
114459948591
1220243a2000
13c9a644825
14709abcd44
1540d5d8d13
hex26c225b80

10404125568 has 256 divisors, whose sum is σ = 31726080000. Its totient is φ = 3354863616.

The previous prime is 10404125539. The next prime is 10404125569. The reversal of 10404125568 is 86552140401.

It is a happy number.

10404125568 is a `hidden beast` number, since 10 + 40 + 41 + 2 + 5 + 568 = 666.

It is a super-2 number, since 2×104041255682 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404125569) 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 31 ways as a sum of consecutive naturals, for example, 14469913 + ... + 14470631.

It is an arithmetic number, because the mean of its divisors is an integer number (123930000).

Almost surely, 210404125568 is an apocalyptic number.

10404125568 is a gapful number since it is divisible by the number (18) 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 10404125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040000).

10404125568 is an abundant number, since it is smaller than the sum of its proper divisors (21321954432).

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

10404125568 is an equidigital number, since it uses as much as digits as its factorization.

10404125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 10404125568 its reverse (86552140401), we get a palindrome (96956265969).

The spelling of 10404125568 in words is "ten billion, four hundred four million, one hundred twenty-five thousand, five hundred sixty-eight".