Search a number
-
+
47338940908201 is a prime number
BaseRepresentation
bin10101100001101111101001…
…10000011100001010101001
320012121120002012000010010011
422300313310300130022221
522201100122333030301
6244403113105451521
712654061041354115
oct1260676460341251
9205546065003104
1047338940908201
11140a1372023378
12538672b640ba1
1320550735475b7
14b993074d0745
155715db60ba51
hex2b0df4c1c2a9

47338940908201 has 2 divisors, whose sum is σ = 47338940908202. Its totient is φ = 47338940908200.

The previous prime is 47338940908183. The next prime is 47338940908261. The reversal of 47338940908201 is 10280904983374.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33397118392576 + 13941822515625 = 5779024^2 + 3733875^2 .

It is a cyclic number.

It is not a de Polignac number, because 47338940908201 - 27 = 47338940908073 is a prime.

It is a super-3 number, since 3×473389409082013 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (47338940908261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23669470454100 + 23669470454101.

It is an arithmetic number, because the mean of its divisors is an integer number (23669470454101).

Almost surely, 247338940908201 is an apocalyptic number.

It is an amenable number.

47338940908201 is a deficient number, since it is larger than the sum of its proper divisors (1).

47338940908201 is an equidigital number, since it uses as much as digits as its factorization.

47338940908201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 47338940908201 in words is "forty-seven trillion, three hundred thirty-eight billion, nine hundred forty million, nine hundred eight thousand, two hundred one".