Search a number
-
+
5014611360 = 25325111971607
BaseRepresentation
bin1001010101110010…
…01110010110100000
3110221110212122120200
410222321032112200
540232220030420
62145332305200
7235160331123
oct45271162640
913843778520
105014611360
112143687810
12b7b472200
1361bba6375
14357dc63ba
151e5390b90
hex12ae4e5a0

5014611360 has 288 divisors, whose sum is σ = 18774467712. Its totient is φ = 1208739840.

The previous prime is 5014611331. The next prime is 5014611361. The reversal of 5014611360 is 631164105.

5014611360 is a `hidden beast` number, since 5 + 0 + 14 + 611 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5014611361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3119677 + ... + 3121283.

It is an arithmetic number, because the mean of its divisors is an integer number (65189124).

Almost surely, 25014611360 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 5014611360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387233856).

5014611360 is an abundant number, since it is smaller than the sum of its proper divisors (13759856352).

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

5014611360 is a wasteful number, since it uses less digits than its factorization.

5014611360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5014611360 is about 70813.9206653607. The cubic root of 5014611360 is about 1711.6399984004.

Adding to 5014611360 its reverse (631164105), we get a palindrome (5645775465).

The spelling of 5014611360 in words is "five billion, fourteen million, six hundred eleven thousand, three hundred sixty".