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5460513876 = 2232151680941
BaseRepresentation
bin1010001010111100…
…01101010001010100
3112002112220211211200
411011132031101110
542140342421001
62301501432500
7252213413346
oct50536152124
915075824750
105460513876
112352354994
12108486b730
13690399ccc
1439b2d9296
1521e5c0086
hex14578d454

5460513876 has 18 divisors (see below), whose sum is σ = 13802965722. Its totient is φ = 1820171280.

The previous prime is 5460513857. The next prime is 5460513887. The reversal of 5460513876 is 6783150645.

5460513876 is a `hidden beast` number, since 5 + 4 + 60 + 513 + 8 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4313336976 + 1147176900 = 65676^2 + 33870^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75840435 + ... + 75840506.

It is an arithmetic number, because the mean of its divisors is an integer number (766831429).

Almost surely, 25460513876 is an apocalyptic number.

It is an amenable number.

5460513876 is an abundant number, since it is smaller than the sum of its proper divisors (8342451846).

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

5460513876 is a wasteful number, since it uses less digits than its factorization.

5460513876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151680951 (or 151680946 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5460513876 is about 73895.2899446237. The cubic root of 5460513876 is about 1760.9397826188.

The spelling of 5460513876 in words is "five billion, four hundred sixty million, five hundred thirteen thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 151680941 303361882 455042823 606723764 910085646 1365128469 1820171292 2730256938 5460513876