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4628596961 is a prime number
BaseRepresentation
bin1000100111110001…
…01100100011100001
3102221120112002101002
410103320230203201
533434410100321
62043142521345
7222462265532
oct42370544341
912846462332
104628596961
111a657a444a
12a92136255
13589c20791
1431ca22689
151c154120b
hex113e2c8e1

4628596961 has 2 divisors, whose sum is σ = 4628596962. Its totient is φ = 4628596960.

The previous prime is 4628596937. The next prime is 4628596991. The reversal of 4628596961 is 1696958264.

4628596961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3173632225 + 1454964736 = 56335^2 + 38144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4628596961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4628596897 and 4628596906.

It is not a weakly prime, because it can be changed into another prime (4628596991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2314298480 + 2314298481.

It is an arithmetic number, because the mean of its divisors is an integer number (2314298481).

Almost surely, 24628596961 is an apocalyptic number.

It is an amenable number.

4628596961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4628596961 is an equidigital number, since it uses as much as digits as its factorization.

4628596961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5598720, while the sum is 56.

The square root of 4628596961 is about 68033.7927871143. The cubic root of 4628596961 is about 1666.5427372162.

The spelling of 4628596961 in words is "four billion, six hundred twenty-eight million, five hundred ninety-six thousand, nine hundred sixty-one".