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5416006131 = 324712803797
BaseRepresentation
bin1010000101101000…
…11011000111110011
3111222110011121200200
411002310123013303
542042444144011
62253231450243
7251133202224
oct50264330763
914873147620
105416006131
11232a215628
121071986983
136840b5773
1439543124b
1521a72c856
hex142d1b1f3

5416006131 has 12 divisors (see below), whose sum is σ = 7989569952. Its totient is φ = 3533847696.

The previous prime is 5416006103. The next prime is 5416006139. The reversal of 5416006131 is 1316006145.

5416006131 is a `hidden beast` number, since 5 + 41 + 6 + 0 + 0 + 613 + 1 = 666.

It is not a de Polignac number, because 5416006131 - 27 = 5416006003 is a prime.

It is a super-2 number, since 2×54160061312 = 58666244822059178322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5416006095 and 5416006104.

It is not an unprimeable number, because it can be changed into a prime (5416006139) 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 11 ways as a sum of consecutive naturals, for example, 6401476 + ... + 6402321.

It is an arithmetic number, because the mean of its divisors is an integer number (665797496).

Almost surely, 25416006131 is an apocalyptic number.

5416006131 is a deficient number, since it is larger than the sum of its proper divisors (2573563821).

5416006131 is a wasteful number, since it uses less digits than its factorization.

5416006131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12803850 (or 12803847 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5416006131 is about 73593.5196263910. The cubic root of 5416006131 is about 1756.1423482923.

The spelling of 5416006131 in words is "five billion, four hundred sixteen million, six thousand, one hundred thirty-one".

Divisors: 1 3 9 47 141 423 12803797 38411391 115234173 601778459 1805335377 5416006131