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4101427517 = 11131221727
BaseRepresentation
bin1111010001110110…
…1101000100111101
3101120211120002211212
43310131231010331
531344431140032
61514551454205
7203431362425
oct36435550475
911524502755
104101427517
111815170220
12965687365
13504944bb5
142ac9d7485
1519010cbb2
hexf476d13d

4101427517 has 12 divisors (see below), whose sum is σ = 4508907648. Its totient is φ = 3699937800.

The previous prime is 4101427511. The next prime is 4101427523. The reversal of 4101427517 is 7157241014.

It is an interprime number because it is at equal distance from previous prime (4101427511) and next prime (4101427523).

It is not a de Polignac number, because 4101427517 - 24 = 4101427501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101427511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177908 + ... + 199634.

It is an arithmetic number, because the mean of its divisors is an integer number (375742304).

Almost surely, 24101427517 is an apocalyptic number.

It is an amenable number.

4101427517 is a deficient number, since it is larger than the sum of its proper divisors (407480131).

4101427517 is a wasteful number, since it uses less digits than its factorization.

4101427517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22000 (or 21869 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 4101427517 is about 64042.3884392205. The cubic root of 4101427517 is about 1600.7063960247.

The spelling of 4101427517 in words is "four billion, one hundred one million, four hundred twenty-seven thousand, five hundred seventeen".

Divisors: 1 11 131 1441 17161 21727 188771 238997 2846237 31308607 372857047 4101427517