Search a number
-
+
2755061166 = 2311133211027
BaseRepresentation
bin1010010000110110…
…1110010110101110
321010000010121102110
42210031232112232
521120243424131
61133214304450
7125162430204
oct24415562656
97100117373
102755061166
111194184260
1264a7b8126
1334ba24710
141c1c87074
15111d0e646
hexa436e5ae

2755061166 has 32 divisors (see below), whose sum is σ = 6473432448. Its totient is φ = 770646240.

The previous prime is 2755061117. The next prime is 2755061167. The reversal of 2755061166 is 6611605572.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755061167) 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, 1604656 + ... + 1606371.

It is an arithmetic number, because the mean of its divisors is an integer number (202294764).

Almost surely, 22755061166 is an apocalyptic number.

2755061166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2755061166 is an abundant number, since it is smaller than the sum of its proper divisors (3718371282).

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

2755061166 is a wasteful number, since it uses less digits than its factorization.

2755061166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211056.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 2755061166 is about 52488.6765502808. The cubic root of 2755061166 is about 1401.8786286629.

It can be divided in two parts, 275506 and 1166, that added together give a palindrome (276672).

The spelling of 2755061166 in words is "two billion, seven hundred fifty-five million, sixty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 3211027 6422054 9633081 19266162 35321297 41743351 70642594 83486702 105963891 125230053 211927782 250460106 459176861 918353722 1377530583 2755061166