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5593095144 = 23337133167137
BaseRepresentation
bin1010011010101111…
…11101101111101000
3112102210101200011000
411031113331233220
542423313021034
62322555235000
7255413344560
oct51527755750
915383350130
105593095144
11241017a18a
121101148a60
136b19aa670
143b0b6bda0
1522b05d599
hex14d5fdbe8

5593095144 has 512 divisors, whose sum is σ = 20179353600. Its totient is φ = 1395947520.

The previous prime is 5593095143. The next prime is 5593095161. The reversal of 5593095144 is 4415903955.

5593095144 is a `hidden beast` number, since 5 + 593 + 0 + 9 + 51 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5593095144.

It is not an unprimeable number, because it can be changed into a prime (5593095143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40825444 + ... + 40825580.

It is an arithmetic number, because the mean of its divisors is an integer number (39412800).

Almost surely, 25593095144 is an apocalyptic number.

5593095144 is a gapful number since it is divisible by the number (54) 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 5593095144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089676800).

5593095144 is an abundant number, since it is smaller than the sum of its proper divisors (14586258456).

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

5593095144 is a wasteful number, since it uses less digits than its factorization.

5593095144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5593095144 is about 74786.9984957279. The cubic root of 5593095144 is about 1775.0778402946.

It can be divided in two parts, 559309 and 5144, that added together give a triangular number (564453 = T1062).

The spelling of 5593095144 in words is "five billion, five hundred ninety-three million, ninety-five thousand, one hundred forty-four".