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47248351920 = 24335721140583
BaseRepresentation
bin101100000000001110…
…001010001010110000
311111221211002222002000
4230000032022022300
51233231034230140
633412224054000
73261600236100
oct540016121260
9144854088060
1047248351920
1119046510130
1291a7464300
1345bc9719b3
1424030d5200
15136800ba30
hexb0038a2b0

47248351920 has 480 divisors, whose sum is σ = 206530352640. Its totient is φ = 9817597440.

The previous prime is 47248351919. The next prime is 47248351937. The reversal of 47248351920 is 2915384274.

47248351920 is a `hidden beast` number, since 4 + 72 + 48 + 3 + 519 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1143949 + ... + 1184531.

It is an arithmetic number, because the mean of its divisors is an integer number (430271568).

Almost surely, 247248351920 is an apocalyptic number.

47248351920 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 47248351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103265176320).

47248351920 is an abundant number, since it is smaller than the sum of its proper divisors (159282000720).

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

47248351920 is a wasteful number, since it uses less digits than its factorization.

47248351920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40630 (or 40611 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47248351920 in words is "forty-seven billion, two hundred forty-eight million, three hundred fifty-one thousand, nine hundred twenty".