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5741770968 = 23331923591031
BaseRepresentation
bin1010101100011110…
…00111100011011000
3112211011011012001000
411112033013203120
543224343132333
62345430025000
7262200151023
oct52617074330
915734135030
105741770968
11248709756a
121142aa8160
1370673491b
143c67d01ba
1523912a713
hex1563c78d8

5741770968 has 256 divisors, whose sum is σ = 17832960000. Its totient is φ = 1703306880.

The previous prime is 5741770939. The next prime is 5741771017. The reversal of 5741770968 is 8690771475.

5741770968 is a `hidden beast` number, since 574 + 1 + 7 + 7 + 0 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 5568613 + ... + 5569643.

It is an arithmetic number, because the mean of its divisors is an integer number (69660000).

Almost surely, 25741770968 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 5741770968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916480000).

5741770968 is an abundant number, since it is smaller than the sum of its proper divisors (12091189032).

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

5741770968 is a wasteful number, since it uses less digits than its factorization.

5741770968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The square root of 5741770968 is about 75774.4743828685. The cubic root of 5741770968 is about 1790.6688893494.

The spelling of 5741770968 in words is "five billion, seven hundred forty-one million, seven hundred seventy thousand, nine hundred sixty-eight".