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47017145093 is a prime number
BaseRepresentation
bin101011110010011100…
…001011001100000101
311111100201001102221012
4223302130023030011
51232242342120333
633333244332005
73253062065522
oct536234131405
9144321042835
1047017145093
1118a37a53006
129141b44005
134583aac319
1423c050c149
151352a8ae48
hexaf270b305

47017145093 has 2 divisors, whose sum is σ = 47017145094. Its totient is φ = 47017145092.

The previous prime is 47017145057. The next prime is 47017145099. The reversal of 47017145093 is 39054171074.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44849497729 + 2167647364 = 211777^2 + 46558^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47017145093 is a prime.

It is a super-2 number, since 2×470171450932 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47017145093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47017145099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23508572546 + 23508572547.

It is an arithmetic number, because the mean of its divisors is an integer number (23508572547).

Almost surely, 247017145093 is an apocalyptic number.

It is an amenable number.

47017145093 is a deficient number, since it is larger than the sum of its proper divisors (1).

47017145093 is an equidigital number, since it uses as much as digits as its factorization.

47017145093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 47017145093 in words is "forty-seven billion, seventeen million, one hundred forty-five thousand, ninety-three".