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5112366480 = 24325131719289
BaseRepresentation
bin1001100001011100…
…01000010110010000
3111012021211010101200
410300232020112100
540432231211410
62203143431200
7240455253354
oct46056102620
914167733350
105112366480
112193885671
12ba8155500
13636212130
14366d91464
151edc503c0
hex130b88590

5112366480 has 720 divisors, whose sum is σ = 20894131440. Its totient is φ = 1109458944.

The previous prime is 5112366451. The next prime is 5112366481. The reversal of 5112366480 is 846632115.

It is a happy number.

5112366480 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 3 + 6 + 648 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 402564096 + 4709802384 = 20064^2 + 68628^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×51123664802 = 52272582051655180800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5112366481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57442276 + ... + 57442364.

It is an arithmetic number, because the mean of its divisors is an integer number (29019627).

Almost surely, 25112366480 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 5112366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447065720).

5112366480 is an abundant number, since it is smaller than the sum of its proper divisors (15781764960).

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

5112366480 is a wasteful number, since it uses less digits than its factorization.

5112366480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5112366480 is about 71500.8145408148. The cubic root of 5112366480 is about 1722.6907676367.

Adding to 5112366480 its reverse (846632115), we get a palindrome (5958998595).

The spelling of 5112366480 in words is "five billion, one hundred twelve million, three hundred sixty-six thousand, four hundred eighty".