Search a number
-
+
5166317808 = 2433107111767
BaseRepresentation
bin1001100111110111…
…11100000011110000
3111100001100010201000
410303323330003300
541040034132213
62212352042000
7242011656021
oct46373740360
914301303630
105166317808
112211285043
121002233300
13644451bb2
143701d6c48
1520385ac73
hex133efc0f0

5166317808 has 80 divisors (see below), whose sum is σ = 14967970560. Its totient is φ = 1705996224.

The previous prime is 5166317801. The next prime is 5166317809. The reversal of 5166317808 is 8087136615.

5166317808 is a `hidden beast` number, since 5 + 1 + 6 + 631 + 7 + 8 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166317801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9660 + ... + 102107.

It is an arithmetic number, because the mean of its divisors is an integer number (187099632).

Almost surely, 25166317808 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 5166317808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483985280).

5166317808 is an abundant number, since it is smaller than the sum of its proper divisors (9801652752).

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

5166317808 is a wasteful number, since it uses less digits than its factorization.

5166317808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111891 (or 111879 counting only the distinct ones).

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

The square root of 5166317808 is about 71877.1021118687. The cubic root of 5166317808 is about 1728.7294855956.

The spelling of 5166317808 in words is "five billion, one hundred sixty-six million, three hundred seventeen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 5136 5778 7704 11556 15408 23112 46224 111767 223534 335301 447068 670602 894136 1005903 1341204 1788272 2011806 2682408 3017709 4023612 5364816 6035418 8047224 11959069 12070836 16094448 23918138 24141672 35877207 47836276 48283344 71754414 95672552 107631621 143508828 191345104 215263242 287017656 322894863 430526484 574035312 645789726 861052968 1291579452 1722105936 2583158904 5166317808