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3929943168 = 273218472
BaseRepresentation
bin1110101000111110…
…0010110010000000
3101010212212210112200
43222033202302000
531022031140133
61445544153200
7166246652154
oct35217426200
911125783480
103929943168
111737394518
12918168800
134a8263078
14293d19064
15180037913
hexea3e2c80

3929943168 has 72 divisors (see below), whose sum is σ = 11314946955. Its totient is φ = 1309271808.

The previous prime is 3929943151. The next prime is 3929943169. The reversal of 3929943168 is 8613499293.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3929943168 is a `hidden beast` number, since 39 + 299 + 4 + 316 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1964971584 + 1964971584 = 44328^2 + 44328^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=44328.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3929943169) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2126821 + ... + 2128667.

Almost surely, 23929943168 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 3929943168

3929943168 is an abundant number, since it is smaller than the sum of its proper divisors (7385003787).

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

3929943168 is an frugal number, since it uses more digits than its factorization.

3929943168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 1852 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 3929943168 is about 62689.2587928746. The cubic root of 3929943168 is about 1578.0790584322.

The spelling of 3929943168 in words is "three billion, nine hundred twenty-nine million, nine hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1847 3694 5541 7388 11082 14776 16623 22164 29552 33246 44328 59104 66492 88656 118208 132984 177312 236416 265968 354624 531936 709248 1063872 2127744 3411409 6822818 10234227 13645636 20468454 27291272 30702681 40936908 54582544 61405362 81873816 109165088 122810724 163747632 218330176 245621448 327495264 436660352 491242896 654990528 982485792 1309981056 1964971584 3929943168