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148104762401 is a prime number
BaseRepresentation
bin1000100111101110111…
…0110101010000100001
3112011021200020110122102
42021323232311100201
54411304304344101
6152012143020145
713462113465131
oct2117356652041
9464250213572
10148104762401
11578a1306092
1224853b9a655
1310c73a254ab
14724dba6ac1
153cbc51286b
hex227bbb5421

148104762401 has 2 divisors, whose sum is σ = 148104762402. Its totient is φ = 148104762400.

The previous prime is 148104762383. The next prime is 148104762413. The reversal of 148104762401 is 104267401841.

148104762401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132623430625 + 15481331776 = 364175^2 + 124424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-148104762401 is a prime.

It is not a weakly prime, because it can be changed into another prime (148104762461) 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, 74052381200 + 74052381201.

It is an arithmetic number, because the mean of its divisors is an integer number (74052381201).

Almost surely, 2148104762401 is an apocalyptic number.

It is an amenable number.

148104762401 is a deficient number, since it is larger than the sum of its proper divisors (1).

148104762401 is an equidigital number, since it uses as much as digits as its factorization.

148104762401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 148104762401 in words is "one hundred forty-eight billion, one hundred four million, seven hundred sixty-two thousand, four hundred one".