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47834379216 = 243213241191251
BaseRepresentation
bin101100100011001001…
…101011001111010000
311120110122211020101200
4230203021223033100
51240431100113331
633550320431200
73312244341351
oct544311531720
9146418736350
1047834379216
1119317295108
12932b778500
1346841b7700
14245ac81d28
15139e6b95e6
hexb2326b3d0

47834379216 has 360 divisors, whose sum is σ = 149867407872. Its totient is φ = 14227200000.

The previous prime is 47834379193. The next prime is 47834379259. The reversal of 47834379216 is 61297343874.

47834379216 is a `hidden beast` number, since 47 + 83 + 437 + 92 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190575091 + ... + 190575341.

Almost surely, 247834379216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47834379216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74933703936).

47834379216 is an abundant number, since it is smaller than the sum of its proper divisors (102033028656).

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

47834379216 is a wasteful number, since it uses less digits than its factorization.

47834379216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 47834379216 in words is "forty-seven billion, eight hundred thirty-four million, three hundred seventy-nine thousand, two hundred sixteen".