Search a number
-
+
5006995344 = 243313891559
BaseRepresentation
bin1001010100111000…
…01010111110010000
3110220221112201101000
410222130022332100
540223242322334
62144501142000
7235035521031
oct45234127620
913827481330
105006995344
11213a35578a
12b789ba900
1361a43a950
14356da2a88
151e4889299
hex12a70af90

5006995344 has 80 divisors (see below), whose sum is σ = 15477481600. Its totient is φ = 1540612224.

The previous prime is 5006995303. The next prime is 5006995381. The reversal of 5006995344 is 4435996005.

5006995344 is a `hidden beast` number, since 50 + 0 + 69 + 9 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5006995344.

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, 440164 + ... + 451395.

It is an arithmetic number, because the mean of its divisors is an integer number (193468520).

Almost surely, 25006995344 is an apocalyptic number.

5006995344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5006995344 is an abundant number, since it is smaller than the sum of its proper divisors (10470486256).

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

5006995344 is a wasteful number, since it uses less digits than its factorization.

5006995344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891589 (or 891577 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5006995344 is about 70760.1253814604. The cubic root of 5006995344 is about 1710.7730330645.

The spelling of 5006995344 in words is "five billion, six million, nine hundred ninety-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 891559 1783118 2674677 3566236 5349354 7132472 8024031 10698708 11590267 14264944 16048062 21397416 23180534 24072093 32096124 34770801 42794832 46361068 48144186 64192248 69541602 92722136 96288372 104312403 128384496 139083204 185444272 192576744 208624806 278166408 312937209 385153488 417249612 556332816 625874418 834499224 1251748836 1668998448 2503497672 5006995344