Search a number
-
+
8005813794 = 2331143131271
BaseRepresentation
bin1110111010010111…
…10000011000100010
3202122221100110221000
413131023300120202
5112343442020134
63402224212430
7402251202666
oct73513603042
922587313830
108005813794
113439089440
12167516a116
139a77ca434
1455d37c8a6
1531cc97e99
hex1dd2f0622

8005813794 has 64 divisors (see below), whose sum is σ = 19453685760. Its totient is φ = 2420298000.

The previous prime is 8005813787. The next prime is 8005813817. The reversal of 8005813794 is 4973185008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240379 + ... + 271649.

It is an arithmetic number, because the mean of its divisors is an integer number (303963840).

Almost surely, 28005813794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005813794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726842880).

8005813794 is an abundant number, since it is smaller than the sum of its proper divisors (11447871966).

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

8005813794 is a wasteful number, since it uses less digits than its factorization.

8005813794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31724 (or 31718 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8005813794 is about 89475.2132939620. The cubic root of 8005813794 is about 2000.4843655189.

The spelling of 8005813794 in words is "eight billion, five million, eight hundred thirteen thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 431 594 862 1293 2586 3879 4741 7758 9482 11637 14223 23274 28446 31271 42669 62542 85338 93813 128007 187626 256014 281439 343981 562878 687962 844317 1031943 1688634 2063886 3095829 6191658 9287487 13477801 18574974 26955602 40433403 80866806 121300209 148255811 242600418 296511622 363900627 444767433 727801254 889534866 1334302299 2668604598 4002906897 8005813794