Search a number
-
+
38565636864 = 283711275569
BaseRepresentation
bin100011111010101100…
…001110101100000000
310200112201001100011220
4203322230032230000
51112440300334424
625414455235040
72533456335036
oct437254165400
9120481040156
1038565636864
11153a0329867
127583678a80
133837b61b91
141c1bcb2556
15100ab05579
hex8fab0eb00

38565636864 has 144 divisors (see below), whose sum is σ = 104924897280. Its totient is φ = 12572098560.

The previous prime is 38565636853. The next prime is 38565636871. The reversal of 38565636864 is 46863656583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38565636798 and 38565636807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6922272 + ... + 6927840.

It is an arithmetic number, because the mean of its divisors is an integer number (728645120).

Almost surely, 238565636864 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 38565636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52462448640).

38565636864 is an abundant number, since it is smaller than the sum of its proper divisors (66359260416).

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

38565636864 is a wasteful number, since it uses less digits than its factorization.

38565636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5772 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 60.

The spelling of 38565636864 in words is "thirty-eight billion, five hundred sixty-five million, six hundred thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 127 128 142 192 213 254 256 284 381 384 426 508 568 762 768 852 1016 1136 1524 1704 2032 2272 3048 3408 4064 4544 5569 6096 6816 8128 9017 9088 11138 12192 13632 16256 16707 18034 18176 22276 24384 27051 27264 32512 33414 36068 44552 48768 54102 54528 66828 72136 89104 97536 108204 133656 144272 178208 216408 267312 288544 356416 395399 432816 534624 577088 707263 712832 790798 865632 1069248 1154176 1186197 1414526 1425664 1581596 1731264 2121789 2138496 2308352 2372394 2829052 3163192 3462528 4243578 4276992 4744788 5658104 6326384 6925056 8487156 9489576 11316208 12652768 16974312 18979152 22632416 25305536 33948624 37958304 45264832 50215673 50611072 67897248 75916608 90529664 100431346 101222144 135794496 150647019 151833216 181059328 200862692 271588992 301294038 303666432 401725384 543177984 602588076 803450768 1205176152 1606901536 2410352304 3213803072 4820704608 6427606144 9641409216 12855212288 19282818432 38565636864