Search a number
-
+
5087518128 = 24327111923141
BaseRepresentation
bin1001011110011110…
…10101110110110000
3111010120001200212100
410233033111312300
540404401040003
62200455100400
7240034122240
oct45717256660
914116050770
105087518128
112180853740
12b9b971700
13631021c74
14363963b20
151eb992ba3
hex12f3d5db0

5087518128 has 720 divisors, whose sum is σ = 19810732032. Its totient is φ = 1181952000.

The previous prime is 5087518127. The next prime is 5087518129. The reversal of 5087518128 is 8218157805.

5087518128 is a `hidden beast` number, since 5 + 0 + 8 + 7 + 518 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (5087518127) and next prime (5087518129).

It is not an unprimeable number, because it can be changed into a prime (5087518127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124085788 + ... + 124085828.

Almost surely, 25087518128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5087518128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905366016).

5087518128 is an abundant number, since it is smaller than the sum of its proper divisors (14723213904).

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

5087518128 is a wasteful number, since it uses less digits than its factorization.

5087518128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The square root of 5087518128 is about 71326.8401655366. The cubic root of 5087518128 is about 1719.8952216685.

The spelling of 5087518128 in words is "five billion, eighty-seven million, five hundred eighteen thousand, one hundred twenty-eight".