Search a number
-
+
5086609506 = 2321129387679
BaseRepresentation
bin1001011110010111…
…11000000001100010
3111010111100112110200
410233023320001202
540404133001011
62200423410030
7240023316216
oct45713700142
914114315420
105086609506
112180293010
12b9b5b3916
13630a94514
143637a8946
151eb863856
hex12f2f8062

5086609506 has 48 divisors (see below), whose sum is σ = 12064066560. Its totient is φ = 1536118560.

The previous prime is 5086609441. The next prime is 5086609523. The reversal of 5086609506 is 6059066805.

5086609506 is a `hidden beast` number, since 5 + 0 + 86 + 60 + 9 + 506 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14175 + ... + 101853.

It is an arithmetic number, because the mean of its divisors is an integer number (251334720).

Almost surely, 25086609506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086609506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032033280).

5086609506 is an abundant number, since it is smaller than the sum of its proper divisors (6977457054).

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

5086609506 is a wasteful number, since it uses less digits than its factorization.

5086609506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87991 (or 87988 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5086609506 is about 71320.4704555431. The cubic root of 5086609506 is about 1719.7928254614.

The spelling of 5086609506 in words is "five billion, eighty-six million, six hundred nine thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 293 586 879 1758 2637 3223 5274 6446 9669 19338 29007 58014 87679 175358 263037 526074 789111 964469 1578222 1928938 2893407 5786814 8680221 17360442 25689947 51379894 77069841 154139682 231209523 282589417 462419046 565178834 847768251 1695536502 2543304753 5086609506