Search a number
-
+
6540542244 = 22323761101797
BaseRepresentation
bin1100001011101100…
…01100000100100100
3121212211011222020100
412011312030010210
5101343334322434
63001002304100
7321036456165
oct60566140444
917784158210
106540542244
112856a69215
1213264b8030
13803077452
1446091976c
1528430d699
hex185d8c124

6540542244 has 144 divisors (see below), whose sum is σ = 17450976816. Its totient is φ = 2063232000.

The previous prime is 6540542189. The next prime is 6540542249. The reversal of 6540542244 is 4422450456.

6540542244 is a `hidden beast` number, since 6 + 5 + 405 + 4 + 2 + 244 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 286895844 + 6253646400 = 16938^2 + 79080^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6540542199 and 6540542208.

It is not an unprimeable number, because it can be changed into a prime (6540542249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8206054 + ... + 8206850.

It is an arithmetic number, because the mean of its divisors is an integer number (121187339).

Almost surely, 26540542244 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 6540542244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725488408).

6540542244 is an abundant number, since it is smaller than the sum of its proper divisors (10910434572).

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

6540542244 is a wasteful number, since it uses less digits than its factorization.

6540542244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 6540542244 is about 80873.6189619334. The cubic root of 6540542244 is about 1870.1276514040.

The spelling of 6540542244 in words is "six billion, five hundred forty million, five hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 61 74 101 111 122 148 183 202 222 244 303 333 366 404 444 549 606 666 732 797 909 1098 1212 1332 1594 1818 2196 2257 2391 3188 3636 3737 4514 4782 6161 6771 7173 7474 9028 9564 11211 12322 13542 14346 14948 18483 20313 22422 24644 27084 28692 29489 33633 36966 40626 44844 48617 55449 58978 67266 73932 80497 81252 88467 97234 110898 117956 134532 145851 160994 176934 194468 221796 227957 241491 265401 291702 321988 353868 437553 455914 482982 530802 583404 683871 724473 875106 911828 965964 1061604 1367742 1448946 1750212 1798829 2051613 2735484 2897892 2978389 3597658 4103226 4910317 5396487 5956778 7195316 8206452 8935167 9820634 10792974 11913556 14730951 16189461 17870334 19641268 21585948 26805501 29461902 32378922 35740668 44192853 53611002 58923804 64757844 88385706 107222004 176771412 181681729 363363458 545045187 726726916 1090090374 1635135561 2180180748 3270271122 6540542244