Search a number
-
+
4108664001 = 3132937472089
BaseRepresentation
bin1111010011100101…
…0011110011000001
3101121100011202102210
43310321103303001
531403304222001
61515410532333
7203550032151
oct36471236301
911540152383
104108664001
111819263092
12967b970a9
135062a9940
142ad95c761
15190a8bdd6
hexf4e53cc1

4108664001 has 64 divisors (see below), whose sum is σ = 6404428800. Its totient is φ = 2323593216.

The previous prime is 4108663991. The next prime is 4108664011. The reversal of 4108664001 is 1004668014.

It is an interprime number because it is at equal distance from previous prime (4108663991) and next prime (4108664011).

It is not a de Polignac number, because 4108664001 - 25 = 4108663969 is a prime.

It is a super-2 number, since 2×41086640012 = 33762239746226656002, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4108664001.

It is not an unprimeable number, because it can be changed into a prime (4108664011) 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 63 ways as a sum of consecutive naturals, for example, 1965765 + ... + 1967853.

It is an arithmetic number, because the mean of its divisors is an integer number (100069200).

Almost surely, 24108664001 is an apocalyptic number.

It is an amenable number.

4108664001 is a deficient number, since it is larger than the sum of its proper divisors (2295764799).

4108664001 is a wasteful number, since it uses less digits than its factorization.

4108664001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4108664001 is about 64098.8611521297. The cubic root of 4108664001 is about 1601.6472619616.

The spelling of 4108664001 in words is "four billion, one hundred eight million, six hundred sixty-four thousand, one".

Divisors: 1 3 13 29 37 39 47 87 111 141 377 481 611 1073 1131 1363 1443 1739 1833 2089 3219 4089 5217 6267 13949 17719 22607 27157 41847 50431 53157 60581 67821 77293 81471 98183 151293 181743 231879 294549 655603 787553 1004809 1276379 1966809 2241497 2362659 2847307 3014427 3632771 3829137 6724491 8541921 10898313 29139461 37014991 47226023 87418383 105350359 111044973 141678069 316051077 1369554667 4108664001