Search a number
-
+
47635026740153 is a prime number
BaseRepresentation
bin10101101010010111001001…
…10110010000001110111001
320020122212022220201210201022
422311023210312100032321
522220423013321141103
6245151121300432225
713014342240406016
oct1265134466201671
9206585286653638
1047635026740153
11141a59a0830246
125413ba20a8675
132076c6b477528
14ba979486270d
1557916a34c138
hex2b52e4d903b9

47635026740153 has 2 divisors, whose sum is σ = 47635026740154. Its totient is φ = 47635026740152.

The previous prime is 47635026740137. The next prime is 47635026740201. The reversal of 47635026740153 is 35104762053674.

47635026740153 is digitally balanced in base 2, 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., 47397538160569 + 237488579584 = 6884587^2 + 487328^2 .

It is a cyclic number.

It is not a de Polignac number, because 47635026740153 - 24 = 47635026740137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47635026740095 and 47635026740104.

It is not a weakly prime, because it can be changed into another prime (47635026745153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23817513370076 + 23817513370077.

It is an arithmetic number, because the mean of its divisors is an integer number (23817513370077).

Almost surely, 247635026740153 is an apocalyptic number.

It is an amenable number.

47635026740153 is a deficient number, since it is larger than the sum of its proper divisors (1).

47635026740153 is an equidigital number, since it uses as much as digits as its factorization.

47635026740153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 53.

The spelling of 47635026740153 in words is "forty-seven trillion, six hundred thirty-five billion, twenty-six million, seven hundred forty thousand, one hundred fifty-three".