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10893008288 = 252338938047
BaseRepresentation
bin10100010010100011…
…00001110110100000
31001010011010011012102
422021101201312200
5134302102231123
65000522545532
7533640020441
oct121121416640
931104104172
1010893008288
11468a901398
1221400682a8
131047a06646
147549bd2c8
1543b4a8028
hex289461da0

10893008288 has 48 divisors (see below), whose sum is σ = 22436144640. Its totient is φ = 5196170496.

The previous prime is 10893008261. The next prime is 10893008293. The reversal of 10893008288 is 88280039801.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 267281 + ... + 305327.

It is an arithmetic number, because the mean of its divisors is an integer number (467419680).

Almost surely, 210893008288 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 10893008288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218072320).

10893008288 is an abundant number, since it is smaller than the sum of its proper divisors (11543136352).

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

10893008288 is a wasteful number, since it uses less digits than its factorization.

10893008288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38469 (or 38461 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The spelling of 10893008288 in words is "ten billion, eight hundred ninety-three million, eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 389 736 778 1556 3112 6224 8947 12448 17894 35788 38047 71576 76094 143152 152188 286304 304376 608752 875081 1217504 1750162 3500324 7000648 14001296 14800283 28002592 29600566 59201132 118402264 236804528 340406509 473609056 680813018 1361626036 2723252072 5446504144 10893008288