Search a number
-
+
41636664202464 = 2532241599882783
BaseRepresentation
bin10010111011110010010101…
…00101000101010011100000
312110102102111201100221211100
421131321022211011103200
520424133342013434324
6224315341450114400
711525102232163242
oct1135711245052340
9173372451327740
1041636664202464
11122a3012527531
12480556a71ba00
131a30422438c56
14a3d32231a092
154c30ea0134c9
hex25de4a9454e0

41636664202464 has 72 divisors (see below), whose sum is σ = 118895568023232. Its totient is φ = 13821299297280.

The previous prime is 41636664202351. The next prime is 41636664202487. The reversal of 41636664202464 is 46420246663614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×416366642024642 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41636664202464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299871984 + ... + 300010799.

It is an arithmetic number, because the mean of its divisors is an integer number (1651327333656).

Almost surely, 241636664202464 is an apocalyptic number.

It is an amenable number.

41636664202464 is an abundant number, since it is smaller than the sum of its proper divisors (77258903820768).

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

41636664202464 is a wasteful number, since it uses less digits than its factorization.

41636664202464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599883040 (or 599883029 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 41636664202464 in words is "forty-one trillion, six hundred thirty-six billion, six hundred sixty-four million, two hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 241 288 482 723 964 1446 1928 2169 2892 3856 4338 5784 7712 8676 11568 17352 23136 34704 69408 599882783 1199765566 1799648349 2399531132 3599296698 4799062264 5398945047 7198593396 9598124528 10797890094 14397186792 19196249056 21595780188 28794373584 43191560376 57588747168 86383120752 144571750703 172766241504 289143501406 433715252109 578287002812 867430504218 1156574005624 1301145756327 1734861008436 2313148011248 2602291512654 3469722016872 4626296022496 5204583025308 6939444033744 10409166050616 13878888067488 20818332101232 41636664202464