Search a number
-
+
71968216257 = 36714103119
BaseRepresentation
bin100001100000110100…
…0111101010011000001
320212202120220012000000
41003001220331103001
52134342330410012
653021200350213
75125303513320
oct1030150752301
9225676805000
1071968216257
1128581200083
1211b46015369
136a2c143b62
1436aa19a0b7
151d132e5ddc
hex10c1a3d4c1

71968216257 has 28 divisors (see below), whose sum is σ = 123317681280. Its totient is φ = 41124692088.

The previous prime is 71968216249. The next prime is 71968216289. The reversal of 71968216257 is 75261286917.

71968216257 is a `hidden beast` number, since 7 + 1 + 9 + 6 + 8 + 2 + 1 + 625 + 7 = 666.

It is not a de Polignac number, because 71968216257 - 23 = 71968216249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71968216457) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7046457 + ... + 7056662.

Almost surely, 271968216257 is an apocalyptic number.

It is an amenable number.

71968216257 is a deficient number, since it is larger than the sum of its proper divisors (51349465023).

71968216257 is an equidigital number, since it uses as much as digits as its factorization.

71968216257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14103144 (or 14103129 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 71968216257 in words is "seventy-one billion, nine hundred sixty-eight million, two hundred sixteen thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 5103 14103119 42309357 98721833 126928071 296165499 380784213 888496497 1142352639 2665489491 3427057917 7996468473 10281173751 23989405419 71968216257