Search a number
-
+
5600065536 = 211321323371
BaseRepresentation
bin1010011011100101…
…00011100000000000
3112110021111210201200
411031302203200000
542432104044121
62323404501200
7255526525452
oct51562434000
915407453650
105600065536
11241410013a
12110354a800
136b327b260
143b1a642d2
1522b988a26
hex14dca3800

5600065536 has 144 divisors (see below), whose sum is σ = 17418917880. Its totient is φ = 1723023360.

The previous prime is 5600065531. The next prime is 5600065547. The reversal of 5600065536 is 6355600065.

It is a happy number.

5600065536 is a `hidden beast` number, since 5 + 60 + 0 + 0 + 65 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×56000655363 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5600065536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5600065531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227931 + ... + 251301.

Almost surely, 25600065536 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 5600065536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709458940).

5600065536 is an abundant number, since it is smaller than the sum of its proper divisors (11818852344).

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

5600065536 is a wasteful number, since it uses less digits than its factorization.

5600065536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23412 (or 23389 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 5600065536 is about 74833.5856150165. The cubic root of 5600065536 is about 1775.8149308006.

The spelling of 5600065536 in words is "five billion, six hundred million, sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9984 13312 14976 18432 19968 23371 26624 29952 39936 46742 59904 70113 79872 93484 119808 140226 186968 210339 239616 280452 303823 373936 420678 560904 607646 747872 841356 911469 1121808 1215292 1495744 1682712 1822938 2243616 2430584 2734407 2991488 3365424 3645876 4487232 4861168 5468814 5982976 6730848 7291752 8974464 9722336 10937628 11965952 13461696 14583504 17948928 19444672 21875256 23931904 26923392 29167008 35897856 38889344 43750512 47863808 53846784 58334016 71795712 77778688 87501024 107693568 116668032 143591424 155557376 175002048 215387136 233336064 311114752 350004096 430774272 466672128 622229504 700008192 933344256 1400016384 1866688512 2800032768 5600065536