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3974568864 = 253741181797
BaseRepresentation
bin1110110011100111…
…0001101110100000
3101020222212000111020
43230321301232200
531114442200424
61454220445440
7200331164220
oct35471615640
911228760436
103974568864
11175a5a4462
1292b0a9880
134b45891c6
14299c14080
15183e00079
hexece71ba0

3974568864 has 192 divisors, whose sum is σ = 12297422592. Its totient is φ = 1100390400.

The previous prime is 3974568847. The next prime is 3974568911. The reversal of 3974568864 is 4688654793.

It is a junction number, because it is equal to n+sod(n) for n = 3974568798 and 3974568807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4986514 + ... + 4987310.

It is an arithmetic number, because the mean of its divisors is an integer number (64049076).

Almost surely, 23974568864 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 3974568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148711296).

3974568864 is an abundant number, since it is smaller than the sum of its proper divisors (8322853728).

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

3974568864 is a wasteful number, since it uses less digits than its factorization.

3974568864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The square root of 3974568864 is about 63044.1818409915. The cubic root of 3974568864 is about 1584.0297795646.

The spelling of 3974568864 in words is "three billion, nine hundred seventy-four million, five hundred sixty-eight thousand, eight hundred sixty-four".