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6544331442 = 23311611091657
BaseRepresentation
bin1100001100001001…
…01001001010110010
3121220002022111001000
412012010221022302
5101400322101232
63001215422430
7321113620335
oct60604511262
917802274030
106544331442
112859117090
121327824a16
13803aa308c
1446122461c
1528480b27c
hex1861292b2

6544331442 has 128 divisors (see below), whose sum is σ = 16282886400. Its totient is φ = 1931558400.

The previous prime is 6544331413. The next prime is 6544331447. The reversal of 6544331442 is 2441334456.

It is a junction number, because it is equal to n+sod(n) for n = 6544331397 and 6544331406.

It is not an unprimeable number, because it can be changed into a prime (6544331447) 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 63 ways as a sum of consecutive naturals, for example, 3948678 + ... + 3950334.

It is an arithmetic number, because the mean of its divisors is an integer number (127210050).

Almost surely, 26544331442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6544331442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141443200).

6544331442 is an abundant number, since it is smaller than the sum of its proper divisors (9738554958).

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

6544331442 is a wasteful number, since it uses less digits than its factorization.

6544331442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1843 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 6544331442 is about 80897.0422327047. The cubic root of 6544331442 is about 1870.4887282931.

Adding to 6544331442 its reverse (2441334456), we get a palindrome (8985665898).

It can be divided in two parts, 654 and 4331442, that added together give a triangular number (4332096 = T2943).

The spelling of 6544331442 in words is "six billion, five hundred forty-four million, three hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 109 122 183 198 218 297 327 366 549 594 654 671 981 1098 1199 1342 1647 1657 1962 2013 2398 2943 3294 3314 3597 4026 4971 5886 6039 6649 7194 9942 10791 12078 13298 14913 18117 18227 19947 21582 29826 32373 36234 36454 39894 44739 54681 59841 64746 73139 89478 101077 109362 119682 146278 164043 179523 180613 202154 219417 303231 328086 359046 361226 438834 492129 541839 606462 658251 909693 984258 1083678 1111847 1316502 1625517 1819386 1974753 1986743 2223694 2729079 3251034 3335541 3949506 3973486 4876551 5458158 5960229 6671082 9753102 10006623 11017393 11920458 17880687 20013246 22034786 30019869 33052179 35761374 53642061 60039738 66104358 99156537 107284122 121191323 198313074 242382646 297469611 363573969 594939222 727147938 1090721907 2181443814 3272165721 6544331442