Search a number
-
+
71986946475401 is a prime number
BaseRepresentation
bin10000010111100011000100…
…010111111000010110001001
3100102212212220001221212100122
4100113203010113320112021
533413413231244203101
6413034202514113025
721106612433016056
oct2027430427702611
9312785801855318
1071986946475401
1120a34546653751
1280a767687b775
133122455a78909
1413ac28881602d
1584c82b9ec51b
hex4178c45f8589

71986946475401 has 2 divisors, whose sum is σ = 71986946475402. Its totient is φ = 71986946475400.

The previous prime is 71986946475391. The next prime is 71986946475439. The reversal of 71986946475401 is 10457464968917.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52664556991225 + 19322389484176 = 7257035^2 + 4395724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-71986946475401 is a prime.

It is a super-2 number, since 2×719869464754012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (71986946475481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35993473237700 + 35993473237701.

It is an arithmetic number, because the mean of its divisors is an integer number (35993473237701).

Almost surely, 271986946475401 is an apocalyptic number.

It is an amenable number.

71986946475401 is a deficient number, since it is larger than the sum of its proper divisors (1).

71986946475401 is an equidigital number, since it uses as much as digits as its factorization.

71986946475401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 365783040, while the sum is 71.

The spelling of 71986946475401 in words is "seventy-one trillion, nine hundred eighty-six billion, nine hundred forty-six million, four hundred seventy-five thousand, four hundred one".