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27918461472 = 253112953103167
BaseRepresentation
bin11010000000000100…
…011110101000100000
32200001200111210022120
4122000010132220200
5424134111231342
620454153304240
72005563002256
oct320004365040
980050453276
1027918461472
1110927275360
1254b1a05080
13282c06c2b5
1414cbc065d6
15ad600baec
hex68011ea20

27918461472 has 384 divisors, whose sum is σ = 85593231360. Its totient is φ = 7888957440.

The previous prime is 27918461449. The next prime is 27918461477. The reversal of 27918461472 is 27416481972.

It is not an unprimeable number, because it can be changed into a prime (27918461477) 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 63 ways as a sum of consecutive naturals, for example, 167176333 + ... + 167176499.

It is an arithmetic number, because the mean of its divisors is an integer number (222899040).

Almost surely, 227918461472 is an apocalyptic number.

27918461472 is a gapful number since it is divisible by the number (22) 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 27918461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42796615680).

27918461472 is an abundant number, since it is smaller than the sum of its proper divisors (57674769888).

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

27918461472 is a wasteful number, since it uses less digits than its factorization.

27918461472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The spelling of 27918461472 in words is "twenty-seven billion, nine hundred eighteen million, four hundred sixty-one thousand, four hundred seventy-two".