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55642624655 = 5292731091663
BaseRepresentation
bin110011110100100011…
…110001001010001111
312022121211102012111012
4303310203301022033
51402424002442110
641321210315435
74006606335332
oct636443611217
9168554365435
1055642624655
11216638a1512
12a94a728b7b
135329a9c597
14299bcb2619
1516a9e38905
hexcf48f128f

55642624655 has 48 divisors (see below), whose sum is σ = 70785960960. Its totient is φ = 41976216576.

The previous prime is 55642624651. The next prime is 55642624699.

55642624655 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55642624655 - 22 = 55642624651 is a prime.

It is a super-2 number, since 2×556426246552 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55642624651) 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, 33458354 + ... + 33460016.

It is an arithmetic number, because the mean of its divisors is an integer number (1474707520).

Almost surely, 255642624655 is an apocalyptic number.

55642624655 is a deficient number, since it is larger than the sum of its proper divisors (15143336305).

55642624655 is a wasteful number, since it uses less digits than its factorization.

55642624655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1879 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 50.

The spelling of 55642624655 in words is "fifty-five billion, six hundred forty-two million, six hundred twenty-four thousand, six hundred fifty-five".

Divisors: 1 5 29 73 109 145 365 545 841 1663 2117 3161 4205 7957 8315 10585 15805 39785 48227 61393 91669 121399 181267 230753 241135 306965 458345 606995 906335 1153765 1398583 3520571 5256743 6691837 6992915 13232491 17602855 26283715 33459185 66162455 102096559 152445547 383742239 510482795 762227735 1918711195 11128524931 55642624655