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4630662650120 = 23513312295872137
BaseRepresentation
bin100001101100010100100…
…0000001001100100001000
3121101200112211201202212112
41003120221000021210020
51101332044114300440
613503144055201452
7655361065041413
oct103305100114410
917350484652775
104630662650120
111525942388021
12629553676288
132778921b0ba0
141201a7a42b7a
15806c2be7965
hex43629009908

4630662650120 has 256 divisors, whose sum is σ = 11658250598400. Its totient is φ = 1643827322880.

The previous prime is 4630662650101. The next prime is 4630662650129. The reversal of 4630662650120 is 210562660364.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4630662650129) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2166897692 + ... + 2166899828.

It is an arithmetic number, because the mean of its divisors is an integer number (45540041400).

Almost surely, 24630662650120 is an apocalyptic number.

4630662650120 is a gapful number since it is divisible by the number (40) 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 4630662650120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829125299200).

4630662650120 is an abundant number, since it is smaller than the sum of its proper divisors (7027587948280).

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

4630662650120 is a wasteful number, since it uses less digits than its factorization.

4630662650120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 4630662650120 in words is "four trillion, six hundred thirty billion, six hundred sixty-two million, six hundred fifty thousand, one hundred twenty".