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47420398080 = 2933511471327
BaseRepresentation
bin101100001010011110…
…011101101000000000
311112101210211211001000
4230022132131220000
51234104110214310
633441251412000
73266056506306
oct541236355000
9145353754030
1047420398080
111912463aa40
129234bb4000
1346194bc463
14241bcbc276
1513781934c0
hexb0a79da00

47420398080 has 640 divisors, whose sum is σ = 187805122560. Its totient is φ = 11242782720.

The previous prime is 47420398079. The next prime is 47420398117. The reversal of 47420398080 is 8089302474.

47420398080 is a `hidden beast` number, since 47 + 420 + 39 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 35734377 + ... + 35735703.

It is an arithmetic number, because the mean of its divisors is an integer number (293445504).

Almost surely, 247420398080 is an apocalyptic number.

47420398080 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 47420398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93902561280).

47420398080 is an abundant number, since it is smaller than the sum of its proper divisors (140384724480).

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

47420398080 is a wasteful number, since it uses less digits than its factorization.

47420398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 47420398080 in words is "forty-seven billion, four hundred twenty million, three hundred ninety-eight thousand, eighty".