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10889593344 = 2934737511
BaseRepresentation
bin10100010010001001…
…00000001000000000
31001002220200122210000
422021010200020000
5134300213441334
65000321440000
7533566005360
oct121104401000
931086618700
1010889593344
114688989723
12213aaa0000
1310470ac176
147543709a0
1543b031299
hex289120200

10889593344 has 200 divisors, whose sum is σ = 37146783168. Its totient is φ = 3111229440.

The previous prime is 10889593327. The next prime is 10889593349. The reversal of 10889593344 is 44339598801.

10889593344 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 9 + 593 + 3 + 44 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10889593349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271549 + ... + 309059.

Almost surely, 210889593344 is an apocalyptic number.

10889593344 is a gapful number since it is divisible by the number (14) 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 10889593344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18573391584).

10889593344 is an abundant number, since it is smaller than the sum of its proper divisors (26257189824).

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

10889593344 is an frugal number, since it uses more digits than its factorization.

10889593344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37548 (or 37523 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10889593344 in words is "ten billion, eight hundred eighty-nine million, five hundred ninety-three thousand, three hundred forty-four".