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8613223168 = 28116075039
BaseRepresentation
bin10000000010110001…
…10101101100000000
3211020021022001221111
420001120311230000
5120114441120133
63542403133104
7423305121544
oct100130655400
924207261844
108613223168
11371aa38060
121804674194
13a735bb674
145b9cd3a24
1535627b1cd
hex201635b00

8613223168 has 72 divisors (see below), whose sum is σ = 18790410240. Its totient is φ = 3907875840.

The previous prime is 8613223153. The next prime is 8613223169.

8613223168 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86132231682 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8613223168.

It is not an unprimeable number, because it can be changed into a prime (8613223169) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1706793 + ... + 1711831.

It is an arithmetic number, because the mean of its divisors is an integer number (260977920).

Almost surely, 28613223168 is an apocalyptic number.

8613223168 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 8613223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395205120).

8613223168 is an abundant number, since it is smaller than the sum of its proper divisors (10177187072).

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

8613223168 is a wasteful number, since it uses less digits than its factorization.

8613223168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5659 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 8613223168 is about 92807.4521145797. The cubic root of 8613223168 is about 2049.8491396420.

The spelling of 8613223168 in words is "eight billion, six hundred thirteen million, two hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 607 704 1214 1408 2428 2816 4856 5039 6677 9712 10078 13354 19424 20156 26708 38848 40312 53416 55429 77696 80624 106832 110858 155392 161248 213664 221716 322496 427328 443432 644992 854656 886864 1289984 1709312 1773728 3058673 3547456 6117346 7094912 12234692 14189824 24469384 33645403 48938768 67290806 97877536 134581612 195755072 269163224 391510144 538326448 783020288 1076652896 2153305792 4306611584 8613223168