Search a number
-
+
5065008570 = 234513034799
BaseRepresentation
bin1001011011110010…
…11110010110111010
3111001222201002120000
410231321132112322
540333120233240
62154332413430
7236341601556
oct45571362672
914058632500
105065008570
11216a0799a6
12b94317276
136294704bb
14360984866
151e99e8430
hex12de5e5ba

5065008570 has 80 divisors (see below), whose sum is σ = 13632537600. Its totient is φ = 1349351136.

The previous prime is 5065008541. The next prime is 5065008593. The reversal of 5065008570 is 758005605.

5065008570 is a `hidden beast` number, since 5 + 0 + 6 + 500 + 85 + 70 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1053031 + ... + 1057829.

It is an arithmetic number, because the mean of its divisors is an integer number (170406720).

Almost surely, 25065008570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5065008570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816268800).

5065008570 is an abundant number, since it is smaller than the sum of its proper divisors (8567529030).

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

5065008570 is a wasteful number, since it uses less digits than its factorization.

5065008570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5065008570 is about 71168.8736035635. The cubic root of 5065008570 is about 1717.3549313981.

The spelling of 5065008570 in words is "five billion, sixty-five million, eight thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1303 2606 3909 4799 6515 7818 9598 11727 13030 14397 19545 23454 23995 28794 35181 39090 43191 47990 58635 70362 71985 86382 105543 117270 129573 143970 175905 211086 215955 259146 351810 388719 431910 527715 647865 777438 1055430 1295730 1943595 3887190 6253097 12506194 18759291 31265485 37518582 56277873 62530970 93796455 112555746 168833619 187592910 281389365 337667238 506500857 562778730 844168095 1013001714 1688336190 2532504285 5065008570