Search a number
-
+
5337810144 = 2533171931617
BaseRepresentation
bin1001111100010100…
…01000010011100000
3111210000000211222000
410332022020103200
541412434411034
62241355444000
7246163431462
oct47612102340
914700024860
105337810144
11229a066847
12104b756600
13670b37554
14388cb8132
15213933599
hex13e2884e0

5337810144 has 384 divisors, whose sum is σ = 17940787200. Its totient is φ = 1532805120.

The previous prime is 5337810133. The next prime is 5337810167. The reversal of 5337810144 is 4410187335.

It is a happy number.

5337810144 is a `hidden beast` number, since 533 + 7 + 81 + 0 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5337810099 and 5337810108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8650924 + ... + 8651540.

It is an arithmetic number, because the mean of its divisors is an integer number (46720800).

Almost surely, 25337810144 is an apocalyptic number.

5337810144 is a gapful number since it is divisible by the number (54) 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 5337810144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970393600).

5337810144 is an abundant number, since it is smaller than the sum of its proper divisors (12602977056).

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

5337810144 is a wasteful number, since it uses less digits than its factorization.

5337810144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5337810144 is about 73060.3185320185. The cubic root of 5337810144 is about 1747.6496495467.

Adding to 5337810144 its reverse (4410187335), we get a palindrome (9747997479).

The spelling of 5337810144 in words is "five billion, three hundred thirty-seven million, eight hundred ten thousand, one hundred forty-four".