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5739570144 = 253371132331
BaseRepresentation
bin1010101100001101…
…01110001111100000
3112211000000101002000
411112012232033200
543223312221034
62345310524000
7262142353440
oct52606561740
915730011060
105739570144
112485924000
121142206600
13706143c69
143c63ba120
15238d43599
hex1561ae3e0

5739570144 has 768 divisors, whose sum is σ = 22666936320. Its totient is φ = 1379980800.

The previous prime is 5739570097. The next prime is 5739570149. The reversal of 5739570144 is 4410759375.

5739570144 is a `hidden beast` number, since 5 + 7 + 39 + 570 + 1 + 44 = 666.

It is a super-3 number, since 3×57395701443 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5739570144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5739570149) 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, 185147409 + ... + 185147439.

It is an arithmetic number, because the mean of its divisors is an integer number (29514240).

Almost surely, 25739570144 is an apocalyptic number.

5739570144 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 5739570144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333468160).

5739570144 is an abundant number, since it is smaller than the sum of its proper divisors (16927366176).

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

5739570144 is a wasteful number, since it uses less digits than its factorization.

5739570144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5739570144 is about 75759.9507919587. The cubic root of 5739570144 is about 1790.4400719851.

The spelling of 5739570144 in words is "five billion, seven hundred thirty-nine million, five hundred seventy thousand, one hundred forty-four".