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556644484446655 = 5113531889835453
BaseRepresentation
bin111111010010000111110010…
…0110000101111100110111111
32200222220200201012110112210011
41332210033210300233212333
51040430030401004243110
65251514540152324051
7225151144145460433
oct17644174460574677
92628820635415704
10556644484446655
11151400666862000
125252151b6a3627
131ab7a471245827
149b65a45ac29c3
1544549018b548a
hex1fa43e4c2f9bf

556644484446655 has 64 divisors (see below), whose sum is σ = 748980367148160. Its totient is φ = 396983264071680.

The previous prime is 556644484446653. The next prime is 556644484446689.

It is a happy number.

556644484446655 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 556644484446655 - 21 = 556644484446653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556644484446653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665860909 + ... + 666696361.

It is an arithmetic number, because the mean of its divisors is an integer number (11702818236690).

Almost surely, 2556644484446655 is an apocalyptic number.

556644484446655 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

556644484446655 is a deficient number, since it is larger than the sum of its proper divisors (192335882701505).

556644484446655 is a wasteful number, since it uses less digits than its factorization.

556644484446655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837433 (or 837411 counting only the distinct ones).

The product of its digits is 26542080000, while the sum is 76.

The spelling of 556644484446655 in words is "five hundred fifty-six trillion, six hundred forty-four billion, four hundred eighty-four million, four hundred forty-six thousand, six hundred fifty-five".

Divisors: 1 5 11 53 55 121 265 583 605 1331 1889 2915 6413 6655 9445 20779 32065 70543 100117 103895 228569 352715 500585 835453 1101287 1142845 2514259 4177265 5506435 9189983 12114157 12571295 44279009 45949915 60570785 101089813 133255727 221395045 487069099 505449065 666278635 1111987943 1578170717 2435345495 5357760089 5559939715 7890853585 17359877887 26788800445 58935360979 83643048001 86799389435 190958656757 294676804895 418215240005 920073528011 954793283785 2100545224327 4600367640055 10120808808121 10502726121635 50604044040605 111328896889331 556644484446655