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3465465696 = 253271131712
BaseRepresentation
bin1100111010001110…
…1100111101100000
322221111212220020100
43032203230331200
524044124400241
61331512542400
7151606654350
oct31643547540
98844786210
103465465696
11151918a740
128086b1a00
13432c67824
1424c36cb60
151543899b6
hexce8ecf60

3465465696 has 432 divisors, whose sum is σ = 12864144384. Its totient is φ = 858816000.

The previous prime is 3465465631. The next prime is 3465465719. The reversal of 3465465696 is 6965645643.

3465465696 is a `hidden beast` number, since 3 + 4 + 6 + 546 + 5 + 6 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48809341 + ... + 48809411.

It is an arithmetic number, because the mean of its divisors is an integer number (29778112).

Almost surely, 23465465696 is an apocalyptic number.

3465465696 is a gapful number since it is divisible by the number (36) 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 3465465696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432072192).

3465465696 is an abundant number, since it is smaller than the sum of its proper divisors (9398678688).

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

3465465696 is a wasteful number, since it uses less digits than its factorization.

3465465696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 125 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The square root of 3465465696 is about 58868.2061557850. The cubic root of 3465465696 is about 1513.2843290921.

The spelling of 3465465696 in words is "three billion, four hundred sixty-five million, four hundred sixty-five thousand, six hundred ninety-six".