Search a number
-
+
6440804608 = 287373351
BaseRepresentation
bin1011111111110011…
…01110000100000000
3121121212111202220211
411333321232010000
5101142321221413
62543040443504
7315415636000
oct57771560400
917555452824
106440804608
112805736917
1212b9019594
137b84c61b4
14451596000
1527a6ab83d
hex17fe6e100

6440804608 has 72 divisors (see below), whose sum is σ = 14993148800. Its totient is φ = 2760307200.

The previous prime is 6440804597. The next prime is 6440804611. The reversal of 6440804608 is 8064080446.

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 7 ways as a sum of consecutive naturals, for example, 51133 + ... + 124483.

Almost surely, 26440804608 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 6440804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496574400).

6440804608 is an abundant number, since it is smaller than the sum of its proper divisors (8552344192).

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

6440804608 is an frugal number, since it uses more digits than its factorization.

6440804608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73388 (or 73360 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 6440804608 is about 80254.6235926629. The cubic root of 6440804608 is about 1860.5729733598.

The spelling of 6440804608 in words is "six billion, four hundred forty million, eight hundred four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2744 3136 5488 6272 10976 12544 21952 43904 73351 87808 146702 293404 513457 586808 1026914 1173616 2053828 2347232 3594199 4107656 4694464 7188398 8215312 9388928 14376796 16430624 18777856 25159393 28753592 32861248 50318786 57507184 65722496 100637572 115014368 131444992 201275144 230028736 402550288 460057472 805100576 920114944 1610201152 3220402304 6440804608