Search a number
-
+
39572990016 = 2637271310853
BaseRepresentation
bin100100110110101110…
…111110100001000000
310210010220120011220220
4210312232332201000
51122021141140031
630102442303040
72600440602510
oct446656764100
9123126504826
1039572990016
1115867a1512a
127804ab7a80
133968774c31
141cb59b5840
15106928a596
hex936bbe840

39572990016 has 112 divisors (see below), whose sum is σ = 119716320384. Its totient is φ = 11301359616.

The previous prime is 39572989987. The next prime is 39572990029. The reversal of 39572990016 is 61009927593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3640846 + ... + 3651698.

Almost surely, 239572990016 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 39572990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59858160192).

39572990016 is an abundant number, since it is smaller than the sum of its proper divisors (80143330368).

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

39572990016 is a wasteful number, since it uses less digits than its factorization.

39572990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 39572990016 in words is "thirty-nine billion, five hundred seventy-two million, nine hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2713 5426 8139 10852 10853 16278 18991 21704 21706 32556 32559 37982 43408 43412 56973 65112 65118 75964 75971 86816 86824 113946 130224 130236 151928 151942 173632 173648 227892 227913 260448 260472 303856 303884 347296 455784 455826 520896 520944 607712 607768 694592 911568 911652 1041888 1215424 1215536 1823136 1823304 2083776 2431072 3646272 3646608 4862144 7293216 14586432 29444189 58888378 88332567 117776756 176665134 206109323 235553512 353330268 412218646 471107024 618327969 706660536 824437292 942214048 1236655938 1413321072 1648874584 1884428096 2473311876 2826642144 3297749168 4946623752 5653284288 6595498336 9893247504 13190996672 19786495008 39572990016