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5490000505 = 5112194331103
BaseRepresentation
bin1010001110011101…
…01100001001111001
3112011121101220220001
411013032230021321
542220420004010
62304433433001
7253022143243
oct50716541171
915147356801
105490000505
112367a64700
12109270b761
13696522412
143a11b3093
15221e96c3a
hex1473ac279

5490000505 has 48 divisors (see below), whose sum is σ = 7647010560. Its totient is φ = 3770426880.

The previous prime is 5490000497. The next prime is 5490000539. The reversal of 5490000505 is 5050000945.

5490000505 is a nontrivial binomial coefficient, being equal to C(104786, 2).

It is not a de Polignac number, because 5490000505 - 23 = 5490000497 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4976784 + ... + 4977886.

It is an arithmetic number, because the mean of its divisors is an integer number (159312720).

Almost surely, 25490000505 is an apocalyptic number.

5490000505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5490000505 is the 104785-th triangular number and also the 52393-rd hexagonal number.

5490000505 is the 34929-th centered nonagonal number.

It is an amenable number.

5490000505 is a deficient number, since it is larger than the sum of its proper divisors (2157010055).

5490000505 is a wasteful number, since it uses less digits than its factorization.

5490000505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 5490000505 is about 74094.5376191795. The cubic root of 5490000505 is about 1764.1037702069.

The spelling of 5490000505 in words is "five billion, four hundred ninety million, five hundred five", and thus it is an aban number.

Divisors: 1 5 11 19 55 95 121 209 433 605 1045 1103 2165 2299 4763 5515 8227 11495 12133 20957 23815 41135 52393 60665 90497 104785 133463 230527 261965 452485 477599 667315 995467 1152635 2387995 2535797 4977335 5253589 9074381 12678985 26267945 45371905 57789479 99818191 288947395 499090955 1098000101 5490000505