Search a number
-
+
55365656355 = 33517163714737
BaseRepresentation
bin110011100100000011…
…001101111100100011
312021220112020202102000
4303210003031330203
51401342102000410
641233514055043
74000004212512
oct634403157443
9167815222360
1055365656355
1121531519099
12a891a1a483
1352b45a6b09
1429731b6679
151690978dc0
hexce40cdf23

55365656355 has 64 divisors (see below), whose sum is σ = 104288446080. Its totient is φ = 27772526592.

The previous prime is 55365656317. The next prime is 55365656369.

55365656355 is a `hidden beast` number, since 5 + 536 + 5 + 6 + 56 + 3 + 55 = 666.

55365656355 is nontrivially palindromic in base 10.

55365656355 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 55365656355 - 29 = 55365655843 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3749547 + ... + 3764283.

It is an arithmetic number, because the mean of its divisors is an integer number (1629506970).

Almost surely, 255365656355 is an apocalyptic number.

55365656355 is a deficient number, since it is larger than the sum of its proper divisors (48922789725).

55365656355 is a wasteful number, since it uses less digits than its factorization.

55365656355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16405 (or 16399 counting only the distinct ones).

The product of its digits is 30375000, while the sum is 54.

The spelling of 55365656355 in words is "fifty-five billion, three hundred sixty-five million, six hundred fifty-six thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 1637 2295 4911 8185 14733 14737 24555 27829 44199 44211 73665 73685 83487 132633 139145 220995 221055 250461 250529 397899 417435 663165 751383 751587 1252305 1252645 1989495 2254761 3756915 3757935 6764283 11273805 24124469 33821415 72373407 120622345 217120221 361867035 410115973 651360663 1085601105 1230347919 2050579865 3256803315 3691043757 6151739595 11073131271 18455218785 55365656355