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7648000141 is a prime number
BaseRepresentation
bin1110001111101101…
…10011100010001101
3201202000001122212111
413013312303202031
5111130342001031
63302523104021
7360344633335
oct70766634215
921660048774
107648000141
113275107781
121595372011
1394b639892
14527a3a0c5
152eb6691b1
hex1c7db388d

7648000141 has 2 divisors, whose sum is σ = 7648000142. Its totient is φ = 7648000140.

The previous prime is 7648000127. The next prime is 7648000169. The reversal of 7648000141 is 1410008467.

7648000141 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., 4297326916 + 3350673225 = 65554^2 + 57885^2 .

It is a cyclic number.

It is not a de Polignac number, because 7648000141 - 25 = 7648000109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7648000741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3824000070 + 3824000071.

It is an arithmetic number, because the mean of its divisors is an integer number (3824000071).

Almost surely, 27648000141 is an apocalyptic number.

It is an amenable number.

7648000141 is a deficient number, since it is larger than the sum of its proper divisors (1).

7648000141 is an equidigital number, since it uses as much as digits as its factorization.

7648000141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 7648000141 is about 87452.8452424505. The cubic root of 7648000141 is about 1970.2256212168.

The spelling of 7648000141 in words is "seven billion, six hundred forty-eight million, one hundred forty-one", and thus it is an aban number.