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55640188104655 = 5711144519969103
BaseRepresentation
bin11001010011010101111011…
…01001011010111111001111
321022000011001101010200121211
430221222331221122333033
524243102101123322110
6314200425522435251
714501604505324210
oct1451527551327717
9238004041120554
1055640188104655
1116801964714a80
1262a7536502b27
132507b02477b0b
14da4ddc7a9407
156674e049098a
hex329abda5afcf

55640188104655 has 16 divisors (see below), whose sum is σ = 83243502203904. Its totient is φ = 34684792584480.

The previous prime is 55640188104637. The next prime is 55640188104659.

55640188104655 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55640188104655 - 211 = 55640188102607 is a prime.

It is a super-2 number, since 2×556401881046552 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55640188104655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55640188104659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72259984167 + ... + 72259984936.

It is an arithmetic number, because the mean of its divisors is an integer number (5202718887744).

Almost surely, 255640188104655 is an apocalyptic number.

55640188104655 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55640188104655 is a deficient number, since it is larger than the sum of its proper divisors (27603314099249).

55640188104655 is a wasteful number, since it uses less digits than its factorization.

55640188104655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144519969126.

The product of its (nonzero) digits is 23040000, while the sum is 58.

It can be divided in two parts, 556401 and 88104655, that added together give a square (88661056 = 94162).

The spelling of 55640188104655 in words is "fifty-five trillion, six hundred forty billion, one hundred eighty-eight million, one hundred four thousand, six hundred fifty-five".

Divisors: 1 5 7 11 35 55 77 385 144519969103 722599845515 1011639783721 1589719660133 5058198918605 7948598300665 11128037620931 55640188104655