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71768561445 = 32571713402159
BaseRepresentation
bin100001011010110111…
…1010101011100100101
320212020200012200002100
41002311233111130211
52133440222431240
652545305202313
75120330464320
oct1026557253445
9225220180070
1071768561445
11284895334a9
1211aab190399
1369c997aa09
14368b8677b7
151d00a08e30
hex10b5bd5725

71768561445 has 48 divisors (see below), whose sum is σ = 150533061120. Its totient is φ = 30878572032.

The previous prime is 71768561419. The next prime is 71768561477. The reversal of 71768561445 is 54416586717.

71768561445 is a `hidden beast` number, since 7 + 1 + 76 + 8 + 561 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 71768561445 - 210 = 71768560421 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71768561391 and 71768561400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6695725 + ... + 6706434.

It is an arithmetic number, because the mean of its divisors is an integer number (3136105440).

Almost surely, 271768561445 is an apocalyptic number.

It is an amenable number.

71768561445 is an abundant number, since it is smaller than the sum of its proper divisors (78764499675).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71768561445 is a wasteful number, since it uses less digits than its factorization.

71768561445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402194 (or 13402191 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 71768561445 in words is "seventy-one billion, seven hundred sixty-eight million, five hundred sixty-one thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 13402159 40206477 67010795 93815113 120619431 201032385 227836703 281445339 469075565 603097155 683510109 844336017 1139183515 1407226695 1594856921 2050530327 3417550545 4221680085 4784570763 7974284605 10252651635 14353712289 23922853815 71768561445