Search a number
-
+
8665008968 = 23711101139273
BaseRepresentation
bin10000001000111100…
…11000101101001000
3211100212202001201002
420010132120231020
5120221220241333
63551453114132
7424504234550
oct100436305510
924325661632
108665008968
113747198540
121819a88948
13a81250855
145c2b34160
1535aaaa0e8
hex204798b48

8665008968 has 64 divisors (see below), whose sum is σ = 20456565120. Its totient is φ = 3342528000.

The previous prime is 8665008929. The next prime is 8665008973. The reversal of 8665008968 is 8698005668.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 7421 + ... + 131852.

It is an arithmetic number, because the mean of its divisors is an integer number (319633830).

Almost surely, 28665008968 is an apocalyptic number.

8665008968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8665008968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228282560).

8665008968 is an abundant number, since it is smaller than the sum of its proper divisors (11791556152).

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

8665008968 is a wasteful number, since it uses less digits than its factorization.

8665008968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139398 (or 139394 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 56.

The square root of 8665008968 is about 93086.0299293079. The cubic root of 8665008968 is about 2053.9490776005.

The spelling of 8665008968 in words is "eight billion, six hundred sixty-five million, eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 808 1111 1414 2222 2828 4444 5656 7777 8888 15554 31108 62216 139273 278546 557092 974911 1114184 1532003 1949822 3064006 3899644 6128012 7799288 10724021 12256024 14066573 21448042 28133146 42896084 56266292 85792168 98466011 112532584 154732303 196932022 309464606 393864044 618929212 787728088 1083126121 1237858424 2166252242 4332504484 8665008968