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64121755712146 = 21126723109068041
BaseRepresentation
bin11101001010001100000100…
…11110001011101010010010
322102000222110101221020200121
432211012002132023222102
531401032323430242041
6344213043343540454
716335433611424336
oct1645060236135222
9272028411836617
1064121755712146
111948197a4a3370
1272372862ba72a
1329a186a515bc2
1411b971c2477c6
15762e49c1e7d1
hex3a518278ba92

64121755712146 has 16 divisors (see below), whose sum is σ = 104930436758688. Its totient is φ = 29145161648800.

The previous prime is 64121755711999. The next prime is 64121755712213.

64121755712146 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×641217557121463 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 64121755712093 and 64121755712102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53946115 + ... + 55121926.

It is an arithmetic number, because the mean of its divisors is an integer number (6558152297418).

Almost surely, 264121755712146 is an apocalyptic number.

64121755712146 is a deficient number, since it is larger than the sum of its proper divisors (40808681046542).

64121755712146 is a wasteful number, since it uses less digits than its factorization.

64121755712146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109094777.

The product of its digits is 2822400, while the sum is 52.

The spelling of 64121755712146 in words is "sixty-four trillion, one hundred twenty-one billion, seven hundred fifty-five million, seven hundred twelve thousand, one hundred forty-six".

Divisors: 1 2 11 22 26723 53446 293953 587906 109068041 218136082 1199748451 2399496902 2914625259643 5829250519286 32060877856073 64121755712146