Search a number
-
+
8640625000 = 2359779
BaseRepresentation
bin10000000110000010…
…10111100101101000
3211022011212020012011
420003001113211220
5120144000000000
63545222325304
7424060046350
oct100301274550
924264766164
108640625000
1137344534a7
121811889834
13a79193b77
145bd7c7b60
153588902ba
hex203057968

8640625000 has 160 divisors (see below), whose sum is σ = 23437497600. Its totient is φ = 2925000000.

The previous prime is 8640624997. The next prime is 8640625031. The reversal of 8640625000 is 5260468.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109374961 + ... + 109375039.

It is an arithmetic number, because the mean of its divisors is an integer number (146484360).

Almost surely, 28640625000 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 8640625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718748800).

8640625000 is an abundant number, since it is smaller than the sum of its proper divisors (14796872600).

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

8640625000 is an frugal number, since it uses more digits than its factorization.

8640625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 8640625000 is about 92954.9622128910. The cubic root of 8640625000 is about 2052.0206132897.

Adding to 8640625000 its reverse (5260468), we get a palindrome (8645885468).

The spelling of 8640625000 in words is "eight billion, six hundred forty million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 125 140 158 175 200 250 280 316 350 395 500 553 625 632 700 790 875 1000 1106 1250 1400 1580 1750 1975 2212 2500 2765 3125 3160 3500 3950 4375 4424 5000 5530 6250 7000 7900 8750 9875 11060 12500 13825 15625 15800 17500 19750 21875 22120 25000 27650 31250 35000 39500 43750 49375 55300 62500 69125 78125 79000 87500 98750 109375 110600 125000 138250 156250 175000 197500 218750 246875 276500 312500 345625 390625 395000 437500 493750 546875 553000 625000 691250 781250 875000 987500 1093750 1234375 1382500 1562500 1728125 1953125 1975000 2187500 2468750 2734375 2765000 3125000 3456250 3906250 4375000 4937500 5468750 6171875 6912500 7812500 8640625 9875000 10937500 12343750 13671875 13825000 15625000 17281250 21875000 24687500 27343750 30859375 34562500 43203125 49375000 54687500 61718750 69125000 86406250 109375000 123437500 154296875 172812500 216015625 246875000 308593750 345625000 432031250 617187500 864062500 1080078125 1234375000 1728125000 2160156250 4320312500 8640625000