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49727666742 = 231319316011801
BaseRepresentation
bin101110010011111111…
…111111101000110110
311202100121101012121220
4232103333333220312
51303320240313432
634502232251210
73410204123145
oct562377775066
9152317335556
1049727666742
111a0a8a76046
129779840b06
1348c650aba0
14259a4bd75c
1514609ed72c
hexb93fffa36

49727666742 has 128 divisors (see below), whose sum is σ = 116638126080. Its totient is φ = 13996800000.

The previous prime is 49727666719. The next prime is 49727666753. The reversal of 49727666742 is 24766672794.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27610242 + ... + 27612042.

It is an arithmetic number, because the mean of its divisors is an integer number (911235360).

Almost surely, 249727666742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49727666742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58319063040).

49727666742 is an abundant number, since it is smaller than the sum of its proper divisors (66910459338).

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

49727666742 is a wasteful number, since it uses less digits than its factorization.

49727666742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470.

The product of its digits is 42674688, while the sum is 60.

The spelling of 49727666742 in words is "forty-nine billion, seven hundred twenty-seven million, six hundred sixty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 19 26 31 38 39 57 62 78 93 114 186 247 403 494 589 601 741 806 1178 1202 1209 1482 1767 1801 1803 2418 3534 3602 3606 5403 7657 7813 10806 11419 15314 15626 18631 22838 22971 23413 23439 34219 34257 37262 45942 46826 46878 55831 55893 68438 68514 70239 102657 111662 111786 140478 148447 167493 205314 242203 296894 334986 353989 444847 445341 484406 707978 725803 726609 889694 890682 1060789 1061967 1082401 1334541 1451606 1453218 2121578 2123934 2164802 2177409 2669082 3182367 3247203 4354818 4601857 6364734 6494406 9203714 13790257 13805571 14071213 20565619 27580514 27611142 28142426 33554431 41131238 41370771 42213639 61696857 67108862 82741542 84427278 100663293 123393714 201326586 267353047 436207603 534706094 637534189 802059141 872415206 1275068378 1308622809 1604118282 1912602567 2617245618 3825205134 8287944457 16575888914 24863833371 49727666742