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550101006 = 2327131672011
BaseRepresentation
bin100000110010011…
…110000000001110
31102100010000201100
4200302132000032
52111311213011
6130330323530
716426532010
oct4062360016
91370100640
10550101006
11262577034
121342895a6
1389c77470
14530b81b0
1533462d56
hex20c9e00e

550101006 has 96 divisors (see below), whose sum is σ = 1476453888. Its totient is φ = 144141120.

The previous prime is 550101001. The next prime is 550101007. The reversal of 550101006 is 600101055.

550101006 is a `hidden beast` number, since 550 + 10 + 100 + 6 = 666.

It is a super-2 number, since 2×5501010062 = 605222233604424072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 550101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272541 + ... + 274551.

It is an arithmetic number, because the mean of its divisors is an integer number (15379728).

Almost surely, 2550101006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550101006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738226944).

550101006 is an abundant number, since it is smaller than the sum of its proper divisors (926352882).

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

550101006 is a wasteful number, since it uses less digits than its factorization.

550101006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 550101006 is about 23454.2321554128. The cubic root of 550101006 is about 819.3714229029.

The spelling of 550101006 in words is "five hundred fifty million, one hundred one thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 167 182 234 273 334 501 546 819 1002 1169 1503 1638 2011 2171 2338 3006 3507 4022 4342 6033 6513 7014 10521 12066 13026 14077 15197 18099 19539 21042 26143 28154 30394 36198 39078 42231 45591 52286 78429 84462 91182 126693 136773 156858 183001 235287 253386 273546 335837 366002 470574 549003 671674 1007511 1098006 1647009 2015022 2350859 3022533 3294018 4365881 4701718 6045066 7052577 8731762 13097643 14105154 21157731 26195286 30561167 39292929 42315462 61122334 78585858 91683501 183367002 275050503 550101006