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47168601333757 is a prime number
BaseRepresentation
bin10101011100110010010111…
…01110100001111111111101
320012000021101221001011102121
422232121023232201333331
522140302243420140012
6244152542321322541
712635550625023031
oct1256311356417775
9205007357034377
1047168601333757
1114036100851972
125359711196451
132041c981477b7
14b90d887021c1
1556be6c086a07
hex2ae64bba1ffd

47168601333757 has 2 divisors, whose sum is σ = 47168601333758. Its totient is φ = 47168601333756.

The previous prime is 47168601333731. The next prime is 47168601333769. The reversal of 47168601333757 is 75733310686174.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46504407303396 + 664194030361 = 6819414^2 + 814981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47168601333757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47168601333695 and 47168601333704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47168601333797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23584300666878 + 23584300666879.

It is an arithmetic number, because the mean of its divisors is an integer number (23584300666879).

Almost surely, 247168601333757 is an apocalyptic number.

It is an amenable number.

47168601333757 is a deficient number, since it is larger than the sum of its proper divisors (1).

47168601333757 is an equidigital number, since it uses as much as digits as its factorization.

47168601333757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53343360, while the sum is 61.

The spelling of 47168601333757 in words is "forty-seven trillion, one hundred sixty-eight billion, six hundred one million, three hundred thirty-three thousand, seven hundred fifty-seven".