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5110076160 = 2835572347
BaseRepresentation
bin1001100001001010…
…11001001100000000
3111012010111202200000
410300211121030000
540431134414120
62203022400000
7240426634140
oct46045311400
914163452600
105110076160
112192560942
12ba7430000
136358bc807
14366956920
151ed94b990
hex130959300

5110076160 has 432 divisors, whose sum is σ = 20963394816. Its totient is φ = 1167519744.

The previous prime is 5110076149. The next prime is 5110076161. The reversal of 5110076160 is 616700115.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×51100761602 = 52225756722000691200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (5110076161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176107 + ... + 2178453.

Almost surely, 25110076160 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 5110076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10481697408).

5110076160 is an abundant number, since it is smaller than the sum of its proper divisors (15853318656).

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

5110076160 is an equidigital number, since it uses as much as digits as its factorization.

5110076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 5110076160 is about 71484.7967053135. The cubic root of 5110076160 is about 1722.4334763234.

Adding to 5110076160 its reverse (616700115), we get a palindrome (5726776275).

It can be divided in two parts, 51100 and 76160, that added together give a triangular number (127260 = T504).

The spelling of 5110076160 in words is "five billion, one hundred ten million, seventy-six thousand, one hundred sixty".