Search a number
-
+
55660233206655 = 33571119544951719
BaseRepresentation
bin11001010011111011010000…
…11011011010101101111111
321022002001210100112101012000
430221331220123122231333
524243414124200103110
6314213542542513343
714503214316015630
oct1451755033325577
9238061710471160
1055660233206655
111680a410649880
1262ab3ab595853
1325099782b460c
14da5d80a71887
15667cb516a1c0
hex329f686dab7f

55660233206655 has 256 divisors, whose sum is σ = 129887539200000. Its totient is φ = 21909631472640.

The previous prime is 55660233206573. The next prime is 55660233206737.

55660233206655 is a `hidden beast` number, since 5 + 5 + 6 + 602 + 3 + 3 + 20 + 6 + 6 + 5 + 5 = 666.

55660233206655 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (55660233206573) and next prime (55660233206737).

It is not a de Polignac number, because 55660233206655 - 210 = 55660233205631 is a prime.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1076178886 + ... + 1076230604.

It is an arithmetic number, because the mean of its divisors is an integer number (507373200000).

Almost surely, 255660233206655 is an apocalyptic number.

55660233206655 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55660233206655 is an abundant number, since it is smaller than the sum of its proper divisors (74227305993345).

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

55660233206655 is a wasteful number, since it uses less digits than its factorization.

55660233206655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57219 (or 57213 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 55660233206655 in words is "fifty-five trillion, six hundred sixty billion, two hundred thirty-three million, two hundred six thousand, six hundred fifty-five".