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669696768 = 28331329257
BaseRepresentation
bin100111111010101…
…100001100000000
31201200011010021000
4213322230030000
52332420244033
6150241532000
722411220466
oct4772541400
91650133230
10669696768
11314032104
12168344000
13a898c3a0
1464d2a836
153dbd8a13
hex27eac300

669696768 has 288 divisors, whose sum is σ = 2214878400. Its totient is φ = 198180864.

The previous prime is 669696757. The next prime is 669696791. The reversal of 669696768 is 867696966.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6696967682 = 896987522139291648, which contains 22 as substring.

Its product of digits (35271936) is a multiple of the sum of its prime factors (324).

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 31 ways as a sum of consecutive naturals, for example, 2605696 + ... + 2605952.

It is an arithmetic number, because the mean of its divisors is an integer number (7690550).

Almost surely, 2669696768 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 669696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107439200).

669696768 is an abundant number, since it is smaller than the sum of its proper divisors (1545181632).

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

669696768 is a wasteful number, since it uses less digits than its factorization.

669696768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The square root of 669696768 is about 25878.5001110961. The cubic root of 669696768 is about 874.9019832520.

It can be divided in two parts, 66969 and 6768, that added together give a palindrome (73737).

The spelling of 669696768 in words is "six hundred sixty-nine million, six hundred ninety-six thousand, seven hundred sixty-eight".