Search a number
-
+
8063697480 = 2335792393559
BaseRepresentation
bin1111000001010001…
…00100001001001000
3202210222021021102020
413200220210021020
5113003301304410
63412053004440
7403553204046
oct74050441110
922728237366
108063697480
1134688242a3
121690623720
139b67b6037
14566d29396
15322dcda70
hex1e0a24248

8063697480 has 128 divisors (see below), whose sum is σ = 24606720000. Its totient is φ = 2113622784.

The previous prime is 8063697469. The next prime is 8063697491. The reversal of 8063697480 is 847963608.

It is an interprime number because it is at equal distance from previous prime (8063697469) and next prime (8063697491).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2263941 + ... + 2267499.

It is an arithmetic number, because the mean of its divisors is an integer number (192240000).

Almost surely, 28063697480 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 8063697480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303360000).

8063697480 is an abundant number, since it is smaller than the sum of its proper divisors (16543022520).

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

8063697480 is a wasteful number, since it uses less digits than its factorization.

8063697480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 8063697480 is about 89798.0928527995. The cubic root of 8063697480 is about 2005.2940972356.

The spelling of 8063697480 in words is "eight billion, sixty-three million, six hundred ninety-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 239 316 395 474 478 632 717 790 948 956 1185 1195 1434 1580 1896 1912 2370 2390 2868 3160 3559 3585 4740 4780 5736 7118 7170 9480 9560 10677 14236 14340 17795 18881 21354 28472 28680 35590 37762 42708 53385 56643 71180 75524 85416 94405 106770 113286 142360 151048 188810 213540 226572 281161 283215 377620 427080 453144 562322 566430 755240 843483 850601 1124644 1132860 1405805 1686966 1701202 2249288 2265720 2551803 2811610 3373932 3402404 4217415 4253005 5103606 5623220 6747864 6804808 8434830 8506010 10207212 11246440 12759015 16869660 17012020 20414424 25518030 33739320 34024040 51036060 67197479 102072120 134394958 201592437 268789916 335987395 403184874 537579832 671974790 806369748 1007962185 1343949580 1612739496 2015924370 2687899160 4031848740 8063697480