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47233465344 = 21032132361281
BaseRepresentation
bin101011111111010101…
…010111110000000000
311111220210002122112100
4223333111113300000
51233213231342334
633410533030400
73261326555022
oct537725276000
9144823078470
1047233465344
111903907267a
1291a2485400
1345b985bb80
14240113c012
151366a6ac99
hexaff557c00

47233465344 has 528 divisors, whose sum is σ = 156329619264. Its totient is φ = 13624934400.

The previous prime is 47233465319. The next prime is 47233465421. The reversal of 47233465344 is 44356433274.

47233465344 is a `hidden beast` number, since 4 + 72 + 3 + 3 + 46 + 534 + 4 = 666.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 47233465344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168090484 + ... + 168090764.

Almost surely, 247233465344 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 47233465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78164809632).

47233465344 is an abundant number, since it is smaller than the sum of its proper divisors (109096153920).

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

47233465344 is a wasteful number, since it uses less digits than its factorization.

47233465344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 45.

The spelling of 47233465344 in words is "forty-seven billion, two hundred thirty-three million, four hundred sixty-five thousand, three hundred forty-four".