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4058095993 = 717233146359
BaseRepresentation
bin1111000111100001…
…1010000101111001
3101110211000122011121
43301320122011321
531302333032433
61510403025241
7202364150440
oct36170320571
911424018147
104058095993
1117a2764646
1295306b221
134c8982b43
142a6d57d57
1518b3edc2d
hexf1e1a179

4058095993 has 16 divisors (see below), whose sum is σ = 4931746560. Its totient is φ = 3259685376.

The previous prime is 4058095967. The next prime is 4058096023. The reversal of 4058095993 is 3995908504.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4058095993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4058095993.

It is not an unprimeable number, because it can be changed into a prime (4058095493) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45453 + ... + 100906.

It is an arithmetic number, because the mean of its divisors is an integer number (308234160).

Almost surely, 24058095993 is an apocalyptic number.

It is an amenable number.

4058095993 is a deficient number, since it is larger than the sum of its proper divisors (873650567).

4058095993 is a wasteful number, since it uses less digits than its factorization.

4058095993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146616.

The product of its (nonzero) digits is 1749600, while the sum is 52.

The square root of 4058095993 is about 63703.1866785328. The cubic root of 4058095993 is about 1595.0492797017.

The spelling of 4058095993 in words is "four billion, fifty-eight million, ninety-five thousand, nine hundred ninety-three".

Divisors: 1 7 17 119 233 1631 3961 27727 146359 1024513 2488103 17416721 34101647 238711529 579727999 4058095993