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55777826055 = 3573791401629
BaseRepresentation
bin110011111100100111…
…100001010100000111
312022222020211010221110
4303330213201110013
51403213110413210
641342440220103
74013140461450
oct637447412407
9168866733843
1055777826055
1121723146306
12a987a6a633
13534bab9703
1429b1c28127
1516b6c43420
hexcfc9e1507

55777826055 has 32 divisors (see below), whose sum is σ = 102262924800. Its totient is φ = 25431138432.

The previous prime is 55777826009. The next prime is 55777826059. The reversal of 55777826055 is 55062877755.

It is not a de Polignac number, because 55777826055 - 26 = 55777825991 is a prime.

It is a super-3 number, since 3×557778260553 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 55777825986 and 55777826004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55777826059) 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 31 ways as a sum of consecutive naturals, for example, 661020 + ... + 740609.

It is an arithmetic number, because the mean of its divisors is an integer number (3195716400).

Almost surely, 255777826055 is an apocalyptic number.

55777826055 is a deficient number, since it is larger than the sum of its proper divisors (46485098745).

55777826055 is a wasteful number, since it uses less digits than its factorization.

55777826055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402023.

The product of its (nonzero) digits is 20580000, while the sum is 57.

The spelling of 55777826055 in words is "fifty-five billion, seven hundred seventy-seven million, eight hundred twenty-six thousand, fifty-five".

Divisors: 1 3 5 7 15 21 35 105 379 1137 1895 2653 5685 7959 13265 39795 1401629 4204887 7008145 9811403 21024435 29434209 49057015 147171045 531217391 1593652173 2656086955 3718521737 7968260865 11155565211 18592608685 55777826055