Search a number
-
+
5049187680 = 25351719291123
BaseRepresentation
bin1001011001111010…
…00111110101100000
3111000212221022101010
410230331013311200
540320043001210
62153005340520
7236060246535
oct45475076540
914025838333
105049187680
112161153489
12b8ab67740
136260c1324
1435c826d8c
151e8420920
hex12cf47d60

5049187680 has 384 divisors, whose sum is σ = 18354470400. Its totient is φ = 1158119424.

The previous prime is 5049187669. The next prime is 5049187681. The reversal of 5049187680 is 867819405.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5049187681) 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 63 ways as a sum of consecutive naturals, for example, 4495599 + ... + 4496721.

It is an arithmetic number, because the mean of its divisors is an integer number (47798100).

Almost surely, 25049187680 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 5049187680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177235200).

5049187680 is an abundant number, since it is smaller than the sum of its proper divisors (13305282720).

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

5049187680 is a wasteful number, since it uses less digits than its factorization.

5049187680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 5049187680 is about 71057.6363243248. The cubic root of 5049187680 is about 1715.5649757667.

The spelling of 5049187680 in words is "five billion, forty-nine million, one hundred eighty-seven thousand, six hundred eighty".