Search a number
-
+
42864986192 = 24717433831367
BaseRepresentation
bin100111111010111100…
…111100100001010000
311002122100000220201012
4213322330330201100
51200241414024232
631405241230052
73045143241140
oct477274744120
9132570026635
1042864986192
11171a7192626
128383492328
1340717b4172
142108caa920
1511ad2ab9b2
hex9faf3c850

42864986192 has 160 divisors (see below), whose sum is σ = 103179681792. Its totient is φ = 16831567872.

The previous prime is 42864986191. The next prime is 42864986237. The reversal of 42864986192 is 29168946824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42864986191) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31356293 + ... + 31357659.

Almost surely, 242864986192 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 42864986192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51589840896).

42864986192 is an abundant number, since it is smaller than the sum of its proper divisors (60314695600).

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

42864986192 is a wasteful number, since it uses less digits than its factorization.

42864986192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1819 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 59.

The spelling of 42864986192 in words is "forty-two billion, eight hundred sixty-four million, nine hundred eighty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 43 56 68 86 112 119 136 172 238 272 301 344 383 476 602 688 731 766 952 1204 1367 1462 1532 1904 2408 2681 2734 2924 3064 4816 5117 5362 5468 5848 6128 6511 9569 10234 10724 10936 11696 13022 16469 19138 20468 21448 21872 23239 26044 32938 38276 40936 42896 45577 46478 52088 58781 65876 76552 81872 91154 92956 104176 115283 117562 131752 153104 162673 182308 185912 230566 235124 263504 279973 325346 364616 371824 411467 461132 470248 523561 559946 650692 729232 822934 922264 940496 999277 1047122 1119892 1301384 1645868 1844528 1959811 1998554 2094244 2239784 2602768 3291736 3664927 3919622 3997108 4188488 4479568 6583472 6994939 7329854 7839244 7994216 8376976 8900537 13989878 14659708 15678488 15988432 17801074 22513123 27979756 29319416 31356976 35602148 45026246 55959512 58638832 62303759 71204296 90052492 111919024 124607518 142408592 157591861 180104984 249215036 315183722 360209968 382723091 498430072 630367444 765446182 996860144 1260734888 1530892364 2521469776 2679061637 3061784728 5358123274 6123569456 10716246548 21432493096 42864986192