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5739384144 = 2431317312563
BaseRepresentation
bin1010101100001100…
…00000110101010000
3112210222122220221010
411112012000311100
543223240243034
62345302530520
7262140650244
oct52606006520
915728586833
105739384144
11248580728a
121142136a40
137060aa3c0
143c636c424
15238d083e9
hex156180d50

5739384144 has 240 divisors, whose sum is σ = 17500504896. Its totient is φ = 1605611520.

The previous prime is 5739384109. The next prime is 5739384149. The reversal of 5739384144 is 4414839375.

It is a super-2 number, since 2×57393841442 = 65881060704797225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5739384093 and 5739384102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5739384149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10194007 + ... + 10194569.

Almost surely, 25739384144 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 5739384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750252448).

5739384144 is an abundant number, since it is smaller than the sum of its proper divisors (11761120752).

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

5739384144 is a wasteful number, since it uses less digits than its factorization.

5739384144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 629 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 5739384144 is about 75758.7232204978. The cubic root of 5739384144 is about 1790.4207310796.

The spelling of 5739384144 in words is "five billion, seven hundred thirty-nine million, three hundred eighty-four thousand, one hundred forty-four".