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4063935001 = 7413012
BaseRepresentation
bin1111001000111010…
…1011101000011001
3101111020000021210011
43302032223220121
531310331410001
61511132121521
7202464610000
oct36216535031
911436007704
104063935001
1117a5a92575
129550062a1
134c9c48789
142a7a37c37
1518bba3d51
hexf23aba19

4063935001 has 15 divisors (see below), whose sum is σ = 4744622303. Its totient is φ = 3480695400.

The previous prime is 4063934993. The next prime is 4063935011. The reversal of 4063935001 is 1005393604.

The square root of 4063935001 is 63749.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6245001 + 4057690000 = 2499^2 + 63700^2 .

It is not a de Polignac number, because 4063935001 - 23 = 4063934993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4063935011) 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 14 ways as a sum of consecutive naturals, for example, 3123051 + ... + 3124351.

Almost surely, 24063935001 is an apocalyptic number.

4063935001 is the 63749-th square number.

4063935001 is the 31875-th centered octagonal number.

It is an amenable number.

4063935001 is a deficient number, since it is larger than the sum of its proper divisors (680687302).

4063935001 is an frugal number, since it uses more digits than its factorization.

4063935001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The cubic root of 4063935001 is about 1595.8139274711.

The spelling of 4063935001 in words is "four billion, sixty-three million, nine hundred thirty-five thousand, one".

Divisors: 1 7 49 343 1301 2401 9107 63749 446243 1692601 3123701 11848207 82937449 580562143 4063935001