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54341149590 = 2355713397619
BaseRepresentation
bin110010100110111111…
…000010001110010110
312012021010110102100000
4302212333002032112
51342242313241330
640544115232130
73632424102360
oct624677021626
9165233412300
1054341149590
1121056186a92
12a6468a8646
1351802690b0
1428b70c9d30
151630a56560
hexca6fc2396

54341149590 has 384 divisors, whose sum is σ = 181078410240. Its totient is φ = 11418029568.

The previous prime is 54341149573. The next prime is 54341149591. The reversal of 54341149590 is 9594114345.

54341149590 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 11 + 49 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54341149591) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 87788301 + ... + 87788919.

It is an arithmetic number, because the mean of its divisors is an integer number (471558360).

Almost surely, 254341149590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54341149590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90539205120).

54341149590 is an abundant number, since it is smaller than the sum of its proper divisors (126737260650).

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

54341149590 is a wasteful number, since it uses less digits than its factorization.

54341149590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54341149590 in words is "fifty-four billion, three hundred forty-one million, one hundred forty-nine thousand, five hundred ninety".