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11055605561 = 7112138312097
BaseRepresentation
bin10100100101111011…
…10010011100111001
31001112111001221201122
422102331302130321
5140120213334221
65025011555025
7540653045120
oct122275623471
931474057648
1011055605561
114763668100
1221865bba75
1310725c6350
1476c426ab7
1544a8c4eab
hex292f72739

11055605561 has 48 divisors (see below), whose sum is σ = 15137791872. Its totient is φ = 7855626240.

The previous prime is 11055605537. The next prime is 11055605579. The reversal of 11055605561 is 16550655011.

It is a de Polignac number, because none of the positive numbers 2k-11055605561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11055605531) 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, 907865 + ... + 919961.

It is an arithmetic number, because the mean of its divisors is an integer number (315370664).

Almost surely, 211055605561 is an apocalyptic number.

11055605561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11055605561 is a deficient number, since it is larger than the sum of its proper divisors (4082186311).

11055605561 is a wasteful number, since it uses less digits than its factorization.

11055605561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222 (or 12211 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

It can be divided in two parts, 11055 and 605561, that added together give a palindrome (616616).

The spelling of 11055605561 in words is "eleven billion, fifty-five million, six hundred five thousand, five hundred sixty-one".

Divisors: 1 7 11 13 77 83 91 121 143 581 847 913 1001 1079 1573 6391 7553 10043 11011 11869 12097 70301 83083 84679 130559 133067 157261 913913 931469 1004051 1100827 1463737 1729871 7028357 10246159 11044561 12109097 13052663 19028581 77311927 91368641 121490171 133200067 143579293 850431197 1005055051 1579372223 11055605561