Search a number
-
+
57355714812 = 223112264714923
BaseRepresentation
bin110101011010101010…
…101100000011111100
312111001012220012101210
4311122222230003330
51414431030333222
642203204004420
74100220350304
oct653252540374
9174035805353
1057355714812
1122362895500
12b148390710
1355409800b6
142ac1604604
15175a525d0c
hexd5aaac0fc

57355714812 has 72 divisors (see below), whose sum is σ = 147167832448. Its totient is φ = 17372789280.

The previous prime is 57355714777. The next prime is 57355714817. The reversal of 57355714812 is 21841755375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57355714817) 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 23 ways as a sum of consecutive naturals, for example, 3835983 + ... + 3850905.

Almost surely, 257355714812 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 57355714812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73583916224).

57355714812 is an abundant number, since it is smaller than the sum of its proper divisors (89812117636).

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

57355714812 is a wasteful number, since it uses less digits than its factorization.

57355714812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17599 (or 17586 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 48.

The spelling of 57355714812 in words is "fifty-seven billion, three hundred fifty-five million, seven hundred fourteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 2647 5294 7941 10588 14923 15882 29117 29846 31764 44769 58234 59692 87351 89538 116468 164153 174702 179076 320287 328306 349404 492459 640574 656612 960861 984918 1281148 1805683 1921722 1969836 3611366 3843444 5417049 7222732 10834098 21668196 39501181 79002362 118503543 158004724 237007086 434512991 474014172 869025982 1303538973 1738051964 2607077946 4779642901 5214155892 9559285802 14338928703 19118571604 28677857406 57355714812