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5741985024 = 2835241383
BaseRepresentation
bin1010101100011111…
…11011110100000000
3112211011120001200000
411112033323310000
543224422010044
62345434400000
7262202032056
oct52617736400
915734501600
105741985024
112487223376
121142b90000
137067ab199
143c68481d6
1523916dd69
hex1563fbd00

5741985024 has 216 divisors, whose sum is σ = 17284979712. Its totient is φ = 1901076480.

The previous prime is 5741984993. The next prime is 5741985031. The reversal of 5741985024 is 4205891475.

5741985024 is a `hidden beast` number, since 57 + 4 + 1 + 98 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14991937 + ... + 14992319.

Almost surely, 25741985024 is an apocalyptic number.

5741985024 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 5741985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642489856).

5741985024 is an abundant number, since it is smaller than the sum of its proper divisors (11542994688).

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

5741985024 is an equidigital number, since it uses as much as digits as its factorization.

5741985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5741985024 is about 75775.8868242398. The cubic root of 5741985024 is about 1790.6911414071.

The spelling of 5741985024 in words is "five billion, seven hundred forty-one million, nine hundred eighty-five thousand, twenty-four".