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47235857583133 is a prime number
BaseRepresentation
bin10101011110101111101001…
…00000110000110000011101
320012020201000010112122000201
422233113310200300300131
522142403014020130013
6244243504200223501
712643451404510522
oct1257276440606035
9205221003478021
1047235857583133
111406168419553a
12536a76116ab91
132048425cca96b
14b94328b77149
1556daa686e3dd
hex2af5f4830c1d

47235857583133 has 2 divisors, whose sum is σ = 47235857583134. Its totient is φ = 47235857583132.

The previous prime is 47235857583097. The next prime is 47235857583139. The reversal of 47235857583133 is 33138575853274.

47235857583133 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., 31845277358244 + 15390580224889 = 5643162^2 + 3923083^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47235857583133 is a prime.

It is a super-2 number, since 2×472358575831332 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47235857583139) 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, 23617928791566 + 23617928791567.

It is an arithmetic number, because the mean of its divisors is an integer number (23617928791567).

Almost surely, 247235857583133 is an apocalyptic number.

It is an amenable number.

47235857583133 is a deficient number, since it is larger than the sum of its proper divisors (1).

47235857583133 is an equidigital number, since it uses as much as digits as its factorization.

47235857583133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 254016000, while the sum is 64.

The spelling of 47235857583133 in words is "forty-seven trillion, two hundred thirty-five billion, eight hundred fifty-seven million, five hundred eighty-three thousand, one hundred thirty-three".