Search a number
-
+
5026337680 = 2457213531861
BaseRepresentation
bin1001010111001011…
…11101001110010000
3110222021221102001211
410223211331032100
540243220301210
62150431505504
7235362110500
oct45345751620
913867842054
105026337680
11214a266991
12b83388294
13621450910
14359799a00
151e640a38a
hex12b97d390

5026337680 has 240 divisors, whose sum is σ = 14924138544. Its totient is φ = 1559900160.

The previous prime is 5026337671. The next prime is 5026337699. The reversal of 5026337680 is 867336205.

It can be written as a sum of positive squares in 8 ways, for example, as 1276489984 + 3749847696 = 35728^2 + 61236^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 2699950 + ... + 2701810.

Almost surely, 25026337680 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 5026337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462069272).

5026337680 is an abundant number, since it is smaller than the sum of its proper divisors (9897800864).

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

5026337680 is a wasteful number, since it uses less digits than its factorization.

5026337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 5026337680 is about 70896.6690331781. The cubic root of 5026337680 is about 1712.9731434928.

The spelling of 5026337680 in words is "five billion, twenty-six million, three hundred thirty-seven thousand, six hundred eighty".