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3230485610688 = 2632731412272777
BaseRepresentation
bin101111000000100111111…
…100101000000011000000
3102102211110002121102221200
4233000213330220003000
5410412013304020223
610512021542021200
7452252305423410
oct57004774500300
912384402542850
103230485610688
11103604a9aa456
1244210b117800
131a58309cb86b
14b24dbb10640
1559074266a43
hex2f027f280c0

3230485610688 has 672 divisors, whose sum is σ = 11243549011968. Its totient is φ = 867284582400.

The previous prime is 3230485610687. The next prime is 3230485610711. The reversal of 3230485610688 is 8860165840323.

3230485610688 is a `hidden beast` number, since 3 + 2 + 30 + 48 + 561 + 0 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (3230485610687) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1163299156 + ... + 1163301932.

It is an arithmetic number, because the mean of its divisors is an integer number (16731471744).

Almost surely, 23230485610688 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 3230485610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621774505984).

3230485610688 is an abundant number, since it is smaller than the sum of its proper divisors (8013063401280).

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

3230485610688 is a wasteful number, since it uses less digits than its factorization.

3230485610688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3230485610688 in words is "three trillion, two hundred thirty billion, four hundred eighty-five million, six hundred ten thousand, six hundred eighty-eight".