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8696996968 = 2311283108247
BaseRepresentation
bin10000001100110000…
…11010010001101000
3211110002221012222211
420012120122101220
5120302412400333
63554554454504
7425343153202
oct100630322150
924402835884
108696996968
113763256600
121828734434
13a87a7066a
145c709d772
1535d7c7ecd
hex20661a468

8696996968 has 48 divisors (see below), whose sum is σ = 18140199840. Its totient is φ = 3905515680.

The previous prime is 8696996921. The next prime is 8696996993.

8696996968 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86969969682 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8696996894 and 8696996903.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26221 + ... + 134467.

It is an arithmetic number, because the mean of its divisors is an integer number (377920830).

Almost surely, 28696996968 is an apocalyptic number.

8696996968 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 8696996968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070099920).

8696996968 is an abundant number, since it is smaller than the sum of its proper divisors (9443202872).

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

8696996968 is a wasteful number, since it uses less digits than its factorization.

8696996968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108358 (or 108343 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 76.

The square root of 8696996968 is about 93257.6912002436. The cubic root of 8696996968 is about 2056.4734465862.

The spelling of 8696996968 in words is "eight billion, six hundred ninety-six million, nine hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 83 88 121 166 242 332 484 664 913 968 1826 3652 7304 10043 20086 40172 80344 108247 216494 432988 865976 1190717 2381434 4762868 8984501 9525736 13097887 17969002 26195774 35938004 52391548 71876008 98829511 104783096 197659022 395318044 790636088 1087124621 2174249242 4348498484 8696996968