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10065483552 = 2533753127421
BaseRepresentation
bin10010101111111001…
…10001011100100000
3221222110222112200010
421113330301130200
5131103230433202
64342442124520
7504301125045
oct112774613440
927873875603
1010065483552
1142a5780853
121b4aab0740
13c45437337
146b6b2b1cc
153dd9e576c
hex257f31720

10065483552 has 192 divisors, whose sum is σ = 27931889664. Its totient is φ = 3170119680.

The previous prime is 10065483541. The next prime is 10065483577. The reversal of 10065483552 is 25538456001.

10065483552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10065483552.

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 31 ways as a sum of consecutive naturals, for example, 23908302 + ... + 23908722.

It is an arithmetic number, because the mean of its divisors is an integer number (145478592).

Almost surely, 210065483552 is an apocalyptic number.

10065483552 is a gapful number since it is divisible by the number (12) 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 10065483552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965944832).

10065483552 is an abundant number, since it is smaller than the sum of its proper divisors (17866406112).

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

10065483552 is a wasteful number, since it uses less digits than its factorization.

10065483552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 10065483552 in words is "ten billion, sixty-five million, four hundred eighty-three thousand, five hundred fifty-two".