Search a number
-
+
540731860032 = 263713294126029
BaseRepresentation
bin1111101111001100010…
…00010110010001000000
31220200201112101120222010
413313212020112101000
532324404324010112
61052224144212520
754031560655020
oct7674610262100
91820645346863
10540731860032
11199361046841
128896a00a140
133bcb5a161c0
141c258a9da80
15e0eb9d263c
hex7de6216440

540731860032 has 448 divisors, whose sum is σ = 1866063628800. Its totient is φ = 134329466880.

The previous prime is 540731860027. The next prime is 540731860043. The reversal of 540731860032 is 230068137045.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 20761194 + ... + 20787222.

It is an arithmetic number, because the mean of its divisors is an integer number (4165320600).

Almost surely, 2540731860032 is an apocalyptic number.

540731860032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540731860032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933031814400).

540731860032 is an abundant number, since it is smaller than the sum of its proper divisors (1325331768768).

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

540731860032 is a wasteful number, since it uses less digits than its factorization.

540731860032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26134 (or 26124 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 540731860032 its reverse (230068137045), we get a palindrome (770799997077).

The spelling of 540731860032 in words is "five hundred forty billion, seven hundred thirty-one million, eight hundred sixty thousand, thirty-two".