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3664164461001 = 311228148678337
BaseRepresentation
bin110101010100100001001…
…110001001100111001001
3110222021211220212200012220
4311110201032021213021
5440013202100223001
611443143252524253
7525504261012402
oct65244116114711
913867756780186
103664164461001
111192a6634a540
124b2181320689
132076b592c0a5
14c94bcb549a9
15654a7723c36
hex355213899c9

3664164461001 has 16 divisors (see below), whose sum is σ = 5332030431168. Its totient is φ = 2219732121600.

The previous prime is 3664164460967. The next prime is 3664164461039. The reversal of 3664164461001 is 1001644614663.

It is a de Polignac number, because none of the positive numbers 2k-3664164461001 is a prime.

It is a super-2 number, since 2×36641644610012 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3664164471001) 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 15 ways as a sum of consecutive naturals, for example, 24263896 + ... + 24414441.

It is an arithmetic number, because the mean of its divisors is an integer number (333251901948).

Almost surely, 23664164461001 is an apocalyptic number.

It is an amenable number.

3664164461001 is a deficient number, since it is larger than the sum of its proper divisors (1667865970167).

3664164461001 is a wasteful number, since it uses less digits than its factorization.

3664164461001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48680632.

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 3664164461001 in words is "three trillion, six hundred sixty-four billion, one hundred sixty-four million, four hundred sixty-one thousand, one".

Divisors: 1 3 11 33 2281 6843 25091 75273 48678337 146035011 535461707 1606385121 111035286697 333105860091 1221388153667 3664164461001