Search a number
-
+
5746328064 = 29321247033
BaseRepresentation
bin1010101101000001…
…00000001000000000
3112211110201201012100
411112200200020000
543232024444224
62350111430400
7262253661021
oct52640401000
915743651170
105746328064
11248971a364
121144525400
1370766bc29
143c7258c48
1523972aac9
hex156820200

5746328064 has 60 divisors (see below), whose sum is σ = 16584305166. Its totient is φ = 1915441152.

The previous prime is 5746328041. The next prime is 5746328087. The reversal of 5746328064 is 4608236475.

5746328064 is a `hidden beast` number, since 5 + 7 + 4 + 632 + 8 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5746328041) and next prime (5746328087).

It can be written as a sum of positive squares in only one way, i.e., 5330168064 + 416160000 = 73008^2 + 20400^2 .

It is a super-2 number, since 2×57463280642 = 66040572438227976192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 618909 + ... + 628124.

Almost surely, 25746328064 is an apocalyptic number.

It is an amenable number.

5746328064 is an abundant number, since it is smaller than the sum of its proper divisors (10837977102).

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

5746328064 is a wasteful number, since it uses less digits than its factorization.

5746328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247057 (or 1247038 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5746328064 is about 75804.5385448655. The cubic root of 5746328064 is about 1791.1425000274.

The spelling of 5746328064 in words is "five billion, seven hundred forty-six million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 1247033 2494066 3741099 4988132 7482198 9976264 11223297 14964396 19952528 22446594 29928792 39905056 44893188 59857584 79810112 89786376 119715168 159620224 179572752 239430336 319240448 359145504 478860672 638480896 718291008 957721344 1436582016 1915442688 2873164032 5746328064