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5754001344 = 2637131917333
BaseRepresentation
bin1010101101111011…
…10001011111000000
3112212000011112221220
411112331301133000
543241011020334
62350544115040
7262406130060
oct52675613700
915760145856
105754001344
112492a90413
121147005a80
13709127730
143c82953a0
1523a244449
hex156f717c0

5754001344 has 224 divisors, whose sum is σ = 19724705280. Its totient is φ = 1437585408.

The previous prime is 5754001307. The next prime is 5754001369. The reversal of 5754001344 is 4431004575.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323302 + ... + 340634.

It is an arithmetic number, because the mean of its divisors is an integer number (88056720).

Almost surely, 25754001344 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 5754001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9862352640).

5754001344 is an abundant number, since it is smaller than the sum of its proper divisors (13970703936).

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

5754001344 is a wasteful number, since it uses less digits than its factorization.

5754001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17387 (or 17377 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 5754001344 is about 75855.1339330437. The cubic root of 5754001344 is about 1791.9394045730.

The spelling of 5754001344 in words is "five billion, seven hundred fifty-four million, one thousand, three hundred forty-four".