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56764455446765 = 5112479195877967
BaseRepresentation
bin11001110100000100000010…
…01100111110100011101101
321102222121222111111011111002
430322002001030332203231
524420012101043244030
6320421121505410045
714646045060133253
oct1472020114764355
9242877874434432
1056764455446765
11170a5741287300
1264493b9339925
132589b32a54501
1410035b2bc05d3
15686891640245
hex33a08133e8ed

56764455446765 has 24 divisors (see below), whose sum is σ = 75029096862720. Its totient is φ = 41197053809120.

The previous prime is 56764455446761. The next prime is 56764455446771.

56764455446765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56764455446765 - 22 = 56764455446761 is a prime.

It is a super-3 number, since 3×567644554467653 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56764455446692 and 56764455446701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56764455446761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97649189 + ... + 98228778.

It is an arithmetic number, because the mean of its divisors is an integer number (3126212369280).

Almost surely, 256764455446765 is an apocalyptic number.

56764455446765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56764455446765 is a deficient number, since it is larger than the sum of its proper divisors (18264641415955).

56764455446765 is a wasteful number, since it uses less digits than its factorization.

56764455446765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195878473 (or 195878462 counting only the distinct ones).

The product of its digits is 10160640000, while the sum is 74.

The spelling of 56764455446765 in words is "fifty-six trillion, seven hundred sixty-four billion, four hundred fifty-five million, four hundred forty-six thousand, seven hundred sixty-five".

Divisors: 1 5 11 55 121 479 605 2395 5269 26345 57959 289795 195877967 979389835 2154657637 10773288185 23701234007 93825546193 118506170035 469127730965 1032081008123 5160405040615 11352891089353 56764455446765