Search a number
-
+
5511331155 = 3511475691249
BaseRepresentation
bin1010010001000000…
…00011110101010011
3112020002112122001010
411020200003311103
542241400044110
62310514542003
7253401353601
oct51040036523
915202478033
105511331155
112379003740
121099897903
1369aa803c5
143a3d66871
15223cac020
hex148803d53

5511331155 has 64 divisors (see below), whose sum is σ = 9849600000. Its totient is φ = 2608619520.

The previous prime is 5511331123. The next prime is 5511331169.

5511331155 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5511331155 - 25 = 5511331123 is a prime.

It is a super-2 number, since 2×55113311552 = 60749542200147268050, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4411971 + ... + 4413219.

It is an arithmetic number, because the mean of its divisors is an integer number (153900000).

Almost surely, 25511331155 is an apocalyptic number.

5511331155 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5511331155 is a deficient number, since it is larger than the sum of its proper divisors (4338268845).

5511331155 is a wasteful number, since it uses less digits than its factorization.

5511331155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884.

The product of its digits is 5625, while the sum is 30.

The square root of 5511331155 is about 74238.3401956159. The cubic root of 5511331155 is about 1766.3855459696.

It can be divided in two parts, 55113 and 31155, that added together give a palindrome (86268).

The spelling of 5511331155 in words is "five billion, five hundred eleven million, three hundred thirty-one thousand, one hundred fifty-five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 517 569 705 1249 1551 1707 2585 2845 3747 6245 6259 7755 8535 13739 18735 18777 26743 31295 41217 58703 68695 80229 93885 133715 176109 206085 293515 294173 401145 645733 710681 880545 882519 1470865 1937199 2132043 3228665 3553405 4412595 7817491 9685995 10660215 23452473 33402007 39087455 100206021 117262365 167010035 367422077 501030105 1102266231 1837110385 5511331155