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10065428192 = 253113217681
BaseRepresentation
bin10010101111111001…
…00011111011100000
3221222110212201201202
421113330203323200
5131103222200232
64342441020332
7504300504461
oct112774437340
927873781652
1010065428192
1142a57431a6
121b4aa846a8
13c45418091
146b6b14d68
153dd9d4162
hex257f23ee0

10065428192 has 48 divisors (see below), whose sum is σ = 20473697664. Its totient is φ = 4866048000.

The previous prime is 10065428189. The next prime is 10065428227. The reversal of 10065428192 is 29182456001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306592 + ... + 1314272.

It is an arithmetic number, because the mean of its divisors is an integer number (426535368).

Almost surely, 210065428192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10065428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10236848832).

10065428192 is an abundant number, since it is smaller than the sum of its proper divisors (10408269472).

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

10065428192 is a wasteful number, since it uses less digits than its factorization.

10065428192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043 (or 9035 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 10065428192 in words is "ten billion, sixty-five million, four hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1321 2642 5284 7681 10568 15362 21136 30724 40951 42272 61448 81902 122896 163804 238111 245792 327608 476222 655216 952444 1310432 1904888 3809776 7619552 10146601 20293202 40586404 81172808 162345616 314544631 324691232 629089262 1258178524 2516357048 5032714096 10065428192