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47138333000 = 23531123710529
BaseRepresentation
bin101011111001101010…
…011110000101001000
311111200011002102111012
4223321222132011020
51233014403124000
633353254023052
73256063135163
oct537152360510
9144604072435
1047138333000
1118a9a3a6300
129176647a88
1345a2c30b45
1423d2656ada
15135d528735
hexaf9a9e148

47138333000 has 192 divisors, whose sum is σ = 124531570800. Its totient is φ = 16676352000.

The previous prime is 47138332991. The next prime is 47138333027. The reversal of 47138333000 is 33383174.

47138333000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 13899938404 + 33238394596 = 117898^2 + 182314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4471736 + ... + 4482264.

Almost surely, 247138333000 is an apocalyptic number.

47138333000 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 47138333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62265785400).

47138333000 is an abundant number, since it is smaller than the sum of its proper divisors (77393237800).

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

47138333000 is a wasteful number, since it uses less digits than its factorization.

47138333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609 (or 10584 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 47138333000 in words is "forty-seven billion, one hundred thirty-eight million, three hundred thirty-three thousand".