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86746064769 = 32713372862623
BaseRepresentation
bin101000011001001110…
…1111110011110000001
322021220111000200010200
41100302131332132001
52410123443033034
6103503421115413
76160435245630
oct1206235763601
9267814020120
1086746064769
113387498a421
121498b0b8b69
13824594b110
1442acab3517
1523ca877a99
hex143277e781

86746064769 has 48 divisors (see below), whose sum is σ = 158383260672. Its totient is φ = 44519497344.

The previous prime is 86746064767. The next prime is 86746064803. The reversal of 86746064769 is 96746064768.

It is not a de Polignac number, because 86746064769 - 21 = 86746064767 is a prime.

It is a super-2 number, since 2×867460647692 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (86746064767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401009 + ... + 1461614.

It is an arithmetic number, because the mean of its divisors is an integer number (3299651264).

Almost surely, 286746064769 is an apocalyptic number.

It is an amenable number.

86746064769 is a deficient number, since it is larger than the sum of its proper divisors (71637195903).

86746064769 is a wasteful number, since it uses less digits than its factorization.

86746064769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862686 (or 2862683 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

Subtracting 86746064769 from its reverse (96746064768), we obtain a palindrome (9999999999).

The spelling of 86746064769 in words is "eighty-six billion, seven hundred forty-six million, sixty-four thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 2862623 8587869 20038361 25763607 37214099 60115083 105917051 111642297 180345249 260498693 317751153 334926891 741419357 781496079 953253459 1376921663 2224258071 2344488237 4130764989 6672774213 9638451641 12392294967 28915354923 86746064769