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4918078080 = 27335319181
BaseRepresentation
bin1001001010010001…
…11110101010000000
3110200202020020211000
410211020332222000
540033011444310
62132003252000
7232605655026
oct44510765200
913622206730
104918078080
1120a4143943
12b5307a000
13604ba7796
14349258716
151dbb734c0
hex12523ea80

4918078080 has 256 divisors, whose sum is σ = 17982028800. Its totient is φ = 1269043200.

The previous prime is 4918078069. The next prime is 4918078103. The reversal of 4918078080 is 808708194.

4918078080 is a `hidden beast` number, since 491 + 8 + 0 + 7 + 80 + 80 = 666.

It is a super-3 number, since 3×49180780803 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 531090 + ... + 540270.

It is an arithmetic number, because the mean of its divisors is an integer number (70242300).

Almost surely, 24918078080 is an apocalyptic number.

4918078080 is a gapful number since it is divisible by the number (40) 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 4918078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8991014400).

4918078080 is an abundant number, since it is smaller than the sum of its proper divisors (13063950720).

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

4918078080 is a wasteful number, since it uses less digits than its factorization.

4918078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9222 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 4918078080 is about 70129.0102596636. The cubic root of 4918078080 is about 1700.5855053558.

It can be divided in two parts, 49180 and 78080, that added together give a triangular number (127260 = T504).

The spelling of 4918078080 in words is "four billion, nine hundred eighteen million, seventy-eight thousand, eighty".