Search a number
-
+
5110442064 = 24337413379
BaseRepresentation
bin1001100001001101…
…10010100001010000
3111012011012100121000
410300212302201100
540431233121224
62203034302000
7240433020000
oct46046624120
914164170530
105110442064
112192790842
12ba7587900
136359ba220
14366a10000
151ed9c00c9
hex1309b2850

5110442064 has 400 divisors, whose sum is σ = 18477636800. Its totient is φ = 1344252672.

The previous prime is 5110442011. The next prime is 5110442093. The reversal of 5110442064 is 4602440115.

It is a super-2 number, since 2×51104420642 = 52233236179001160192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13483827 + ... + 13484205.

It is an arithmetic number, because the mean of its divisors is an integer number (46194092).

Almost surely, 25110442064 is an apocalyptic number.

5110442064 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 5110442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9238818400).

5110442064 is an abundant number, since it is smaller than the sum of its proper divisors (13367194736).

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

5110442064 is a wasteful number, since it uses less digits than its factorization.

5110442064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5110442064 is about 71487.3559729271. The cubic root of 5110442064 is about 1722.4745866211.

Adding to 5110442064 its reverse (4602440115), we get a palindrome (9712882179).

The spelling of 5110442064 in words is "five billion, one hundred ten million, four hundred forty-two thousand, sixty-four".