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55077077055 = 35711213312347
BaseRepresentation
bin110011010010110110…
…011000000000111111
312021011102020102000210
4303102312120000333
51400244212431210
641145124523503
73656601300450
oct632266300077
9167142212023
1055077077055
11213a3635200
12a811250593
135269877430
142946b37127
151675473e20
hexcd2d9803f

55077077055 has 288 divisors, whose sum is σ = 123540512256. Its totient is φ = 20387980800.

The previous prime is 55077077039. The next prime is 55077077129.

55077077055 is nontrivially palindromic in base 10.

55077077055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55077077055 - 24 = 55077077039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55077076995 and 55077077013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158723392 + ... + 158723738.

It is an arithmetic number, because the mean of its divisors is an integer number (428960112).

Almost surely, 255077077055 is an apocalyptic number.

55077077055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55077077055 is an abundant number, since it is smaller than the sum of its proper divisors (68463435201).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55077077055 is a wasteful number, since it uses less digits than its factorization.

55077077055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1500625, while the sum is 48.

The spelling of 55077077055 in words is "fifty-five billion, seventy-seven million, seventy-seven thousand, fifty-five".