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3884663104 = 26749917377
BaseRepresentation
bin1110011110001011…
…0100000101000000
3101000201200022222021
43213202310011000
530423433204404
61441245451224
7165160043260
oct34742640500
911021608867
103884663104
111713877983
12904b70b14
1349ba6b12a
1428bccd7a0
1517b091454
hexe78b4140

3884663104 has 56 divisors (see below), whose sum is σ = 8828024000. Its totient is φ = 1661423616.

The previous prime is 3884663093. The next prime is 3884663113. The reversal of 3884663104 is 4013664883.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214864 + ... + 232240.

Almost surely, 23884663104 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 3884663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414012000).

3884663104 is an abundant number, since it is smaller than the sum of its proper divisors (4943360896).

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

3884663104 is a wasteful number, since it uses less digits than its factorization.

3884663104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17895 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 3884663104 is about 62327.0655814952. The cubic root of 3884663104 is about 1571.9948548112.

The spelling of 3884663104 in words is "three billion, eight hundred eighty-four million, six hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 499 998 1996 3493 3992 6986 7984 13972 15968 17377 27944 31936 34754 55888 69508 111776 121639 139016 223552 243278 278032 486556 556064 973112 1112128 1946224 3892448 7784896 8671123 17342246 34684492 60697861 69368984 121395722 138737968 242791444 277475936 485582888 554951872 971165776 1942331552 3884663104