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55506600011 = 8315737911239
BaseRepresentation
bin110011101100011100…
…111000000001001011
312022021100110102202102
4303230130320001023
51402134142200021
641255511024015
74003335213122
oct635434700113
9168240412672
1055506600011
11215a4035155
12a91106b00b
135307854825
142987bc4ab9
15169d01a00b
hexcec73804b

55506600011 has 16 divisors (see below), whose sum is σ = 56687366400. Its totient is φ = 54339955488.

The previous prime is 55506600001. The next prime is 55506600031. The reversal of 55506600011 is 11000660555.

It is a cyclic number.

It is not a de Polignac number, because 55506600011 - 226 = 55439491147 is a prime.

It is a super-2 number, since 2×555066000112 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55506600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4933130 + ... + 4944368.

It is an arithmetic number, because the mean of its divisors is an integer number (3542960400).

Almost surely, 255506600011 is an apocalyptic number.

55506600011 is a deficient number, since it is larger than the sum of its proper divisors (1180766389).

55506600011 is a wasteful number, since it uses less digits than its factorization.

55506600011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11858.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 55506600011 in words is "fifty-five billion, five hundred six million, six hundred thousand, eleven".

Divisors: 1 83 157 379 11239 13031 31457 59503 932837 1764523 4259581 4938749 146455409 353545223 668754217 55506600011