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10870528896 = 2732291073041
BaseRepresentation
bin10100001111110111…
…10001101110000000
31001001120211002021100
422013323301232000
5134230323411041
64554401054400
7533244654033
oct120773615600
931046732240
1010870528896
114679148287
122134627400
131043165826
14751a0b01a
154395176b6
hex287ef1b80

10870528896 has 192 divisors, whose sum is σ = 32672905200. Its totient is φ = 3464724480.

The previous prime is 10870528831. The next prime is 10870528931. The reversal of 10870528896 is 69882507801.

10870528896 is a `hidden beast` number, since 108 + 7 + 0 + 528 + 8 + 9 + 6 = 666.

10870528896 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 (192).

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 23 ways as a sum of consecutive naturals, for example, 3573136 + ... + 3576176.

Almost surely, 210870528896 is an apocalyptic number.

10870528896 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 10870528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336452600).

10870528896 is an abundant number, since it is smaller than the sum of its proper divisors (21802376304).

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

10870528896 is a wasteful number, since it uses less digits than its factorization.

10870528896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10870528896 in words is "ten billion, eight hundred seventy million, five hundred twenty-eight thousand, eight hundred ninety-six".