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43938000216 = 233211175367919
BaseRepresentation
bin101000111010111010…
…001010110101011000
311012102010002200020100
4220322322022311120
51204441112001331
632103531455400
73113552560665
oct507272126530
9135363080210
1043938000216
11176a7945980
1286228b7560
1341b2ba69c6
1421ab5c2a6c
1512225b1ae6
hexa3ae8ad58

43938000216 has 384 divisors, whose sum is σ = 142291468800. Its totient is φ = 12098211840.

The previous prime is 43938000209. The next prime is 43938000217. The reversal of 43938000216 is 61200083934.

43938000216 is a `hidden beast` number, since 439 + 3 + 8 + 0 + 0 + 0 + 216 = 666.

43938000216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43938000217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47810205 + ... + 47811123.

It is an arithmetic number, because the mean of its divisors is an integer number (370550700).

Almost surely, 243938000216 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 43938000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71145734400).

43938000216 is an abundant number, since it is smaller than the sum of its proper divisors (98353468584).

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

43938000216 is a wasteful number, since it uses less digits than its factorization.

43938000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 43938000216 in words is "forty-three billion, nine hundred thirty-eight million, two hundred sixteen", and thus it is an aban number.