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2066033970 = 232571113171971
BaseRepresentation
bin111101100100101…
…0010110100110010
312022222121101210200
41323021102310302
513212401041340
6541002140030
7102124666440
oct17311226462
95288541720
102066033970
119702499a0
12497ab1616
1326c057910
14158567b90
15c15a8330
hex7b252d32

2066033970 has 768 divisors, whose sum is σ = 8151736320. Its totient is φ = 348364800.

The previous prime is 2066033947. The next prime is 2066033971. The reversal of 2066033970 is 793306602.

2066033970 is a `hidden beast` number, since 206 + 60 + 3 + 397 + 0 = 666.

2066033970 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2066033971) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29099035 + ... + 29099105.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 22066033970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066033970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075868160).

2066033970 is an abundant number, since it is smaller than the sum of its proper divisors (6085702350).

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

2066033970 is a wasteful number, since it uses less digits than its factorization.

2066033970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 2066033970 is about 45453.6463883812. The cubic root of 2066033970 is about 1273.6374463599.

The spelling of 2066033970 in words is "two billion, sixty-six million, thirty-three thousand, nine hundred seventy".