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8697227968 = 261113972101
BaseRepresentation
bin10000001100110010…
…10010101011000000
3211110010100221212101
420012121102223000
5120302442243333
63555003440144
7425345134522
oct100631225300
924403327771
108697227968
1137633a4110
121828826054
13a87b21850
145c711da12
1535d82167d
hex206652ac0

8697227968 has 168 divisors, whose sum is σ = 20689817904. Its totient is φ = 3575808000.

The previous prime is 8697227953. The next prime is 8697227993.

8697227968 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86972279682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

Its product of digits (36578304) is a multiple of the sum of its prime divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86111118 + ... + 86111218.

It is an arithmetic number, because the mean of its divisors is an integer number (123153678).

Almost surely, 28697227968 is an apocalyptic number.

8697227968 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 8697227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344908952).

8697227968 is an abundant number, since it is smaller than the sum of its proper divisors (11992589936).

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

8697227968 is a wasteful number, since it uses less digits than its factorization.

8697227968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 224 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 64.

The square root of 8697227968 is about 93258.9296957669. The cubic root of 8697227968 is about 2056.4916536816.

The spelling of 8697227968 in words is "eight billion, six hundred ninety-seven million, two hundred twenty-seven thousand, nine hundred sixty-eight".