Search a number
-
+
147668600127437 is a prime number
BaseRepresentation
bin100001100100110111000110…
…011101000111111111001101
3201100211222110122022010012022
4201210313012131013333031
5123323400243113034222
61242022003545415525
743050463366621664
oct4144670635077715
9640758418263168
10147668600127437
11430629a1072184
121468b1b749a5a5
1364521210a83bc
1428672ac501ddb
1512112ec2ec042
hex864dc6747fcd

147668600127437 has 2 divisors, whose sum is σ = 147668600127438. Its totient is φ = 147668600127436.

The previous prime is 147668600127341. The next prime is 147668600127469. The reversal of 147668600127437 is 734721006866741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135792898426441 + 11875701700996 = 11653021^2 + 3446114^2 .

It is a cyclic number.

It is not a de Polignac number, because 147668600127437 - 216 = 147668600061901 is a prime.

It is a super-3 number, since 3×1476686001274373 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 147668600127437.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (147668600127137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73834300063718 + 73834300063719.

It is an arithmetic number, because the mean of its divisors is an integer number (73834300063719).

Almost surely, 2147668600127437 is an apocalyptic number.

It is an amenable number.

147668600127437 is a deficient number, since it is larger than the sum of its proper divisors (1).

147668600127437 is an equidigital number, since it uses as much as digits as its factorization.

147668600127437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56899584, while the sum is 62.

The spelling of 147668600127437 in words is "one hundred forty-seven trillion, six hundred sixty-eight billion, six hundred million, one hundred twenty-seven thousand, four hundred thirty-seven".