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10525504896 = 273231536783
BaseRepresentation
bin10011100110101111…
…00111010110000000
31000011112121001022200
421303113213112000
5133024012124041
64500234033200
7521555213124
oct116327472600
930145531280
1010525504896
114511411685
122058b78800
13cb983250a
1471bc77584
154190b31b6
hex2735e7580

10525504896 has 384 divisors, whose sum is σ = 32720163840. Its totient is φ = 3242004480.

The previous prime is 10525504883. The next prime is 10525504897. The reversal of 10525504896 is 69840552501.

10525504896 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 550 + 4 + 8 + 96 = 666.

10525504896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105255048962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10525504897) 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 47 ways as a sum of consecutive naturals, for example, 126813271 + ... + 126813353.

It is an arithmetic number, because the mean of its divisors is an integer number (85208760).

Almost surely, 210525504896 is an apocalyptic number.

10525504896 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 10525504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360081920).

10525504896 is an abundant number, since it is smaller than the sum of its proper divisors (22194658944).

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

10525504896 is a wasteful number, since it uses less digits than its factorization.

10525504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 10525504896 in words is "ten billion, five hundred twenty-five million, five hundred four thousand, eight hundred ninety-six".