Search a number
-
+
4575406221664 = 252281400115667
BaseRepresentation
bin100001010010100101101…
…1101100110100101100000
3121012101220221000100222021
41002211023131212211200
51044430412443043124
613421525042151224
7651363555123355
oct102451335464540
917171827010867
104575406221664
111504467593523
1261a8b2352514
132725c742bb85
1411b64518062c
157e03bb477e4
hex4294b766960

4575406221664 has 48 divisors (see below), whose sum is σ = 9014607803376. Its totient is φ = 2285982720000.

The previous prime is 4575406221653. The next prime is 4575406221691. The reversal of 4575406221664 is 4661226045754.

It is a super-3 number, since 3×45754062216643 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292033159 + ... + 292048825.

It is an arithmetic number, because the mean of its divisors is an integer number (187804329237).

Almost surely, 24575406221664 is an apocalyptic number.

It is an amenable number.

4575406221664 is a deficient number, since it is larger than the sum of its proper divisors (4439201581712).

4575406221664 is a wasteful number, since it uses less digits than its factorization.

4575406221664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21959 (or 21951 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 4575406221664 in words is "four trillion, five hundred seventy-five billion, four hundred six million, two hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 2281 4001 4562 8002 9124 15667 16004 18248 31334 32008 36496 62668 64016 72992 125336 128032 250672 501344 9126281 18252562 35736427 36505124 62683667 71472854 73010248 125367334 142945708 146020496 250734668 285891416 292040992 501469336 571782832 1002938672 1143565664 2005877344 142981444427 285962888854 571925777708 1143851555416 2287703110832 4575406221664