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8131965505 = 52116976829
BaseRepresentation
bin1111001001011001…
…11111001001000001
3202222201201122112121
413210230333021001
5113123240344010
63422532124241
7405342365146
oct74454771101
922881648477
108131965505
1134a3312054
1216ab466681
139c7999411
1457201a3cd
15328db63da
hex1e4b3f241

8131965505 has 8 divisors (see below), whose sum is σ = 9758946600. Its totient is φ = 6505180416.

The previous prime is 8131965497. The next prime is 8131965529. The reversal of 8131965505 is 5055691318.

It can be written as a sum of positive squares in 4 ways, for example, as 5672499856 + 2459465649 = 75316^2 + 49593^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8131965505 - 23 = 8131965497 is a prime.

It is a super-2 number, since 2×81319655052 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 67431 + ... + 144259.

It is an arithmetic number, because the mean of its divisors is an integer number (1219868325).

Almost surely, 28131965505 is an apocalyptic number.

It is an amenable number.

8131965505 is a deficient number, since it is larger than the sum of its proper divisors (1626981095).

8131965505 is a wasteful number, since it uses less digits than its factorization.

8131965505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98003.

The product of its (nonzero) digits is 162000, while the sum is 43.

The square root of 8131965505 is about 90177.4112791003. The cubic root of 8131965505 is about 2010.9372051604.

The spelling of 8131965505 in words is "eight billion, one hundred thirty-one million, nine hundred sixty-five thousand, five hundred five".

Divisors: 1 5 21169 76829 105845 384145 1626393101 8131965505