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47420549280 = 25345131491889
BaseRepresentation
bin101100001010011111…
…000010100010100000
311112101211010111110000
4230022133002202200
51234104130034110
633441254540000
73266061006156
oct541237024240
9145354114400
1047420549280
11191247335a5
129235067600
134619543220
14241bd1b3d6
1513781c31c0
hexb0a7c28a0

47420549280 has 480 divisors, whose sum is σ = 181534122000. Its totient is φ = 11588272128.

The previous prime is 47420549263. The next prime is 47420549311. The reversal of 47420549280 is 8294502474.

47420549280 is a `hidden beast` number, since 4 + 7 + 4 + 20 + 549 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3928280976 + 43492268304 = 62676^2 + 208548^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25102576 + ... + 25104464.

Almost surely, 247420549280 is an apocalyptic number.

47420549280 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 47420549280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90767061000).

47420549280 is an abundant number, since it is smaller than the sum of its proper divisors (134113572720).

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

47420549280 is a wasteful number, since it uses less digits than its factorization.

47420549280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 47420549280 in words is "forty-seven billion, four hundred twenty million, five hundred forty-nine thousand, two hundred eighty".