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3666742476663 = 3729103105155619
BaseRepresentation
bin110101010110111010111…
…000011111111101110111
3110222112111120212102212110
4311112322320133331313
5440033442033223123
611444251144422103
7525625203541140
oct65267270377567
913875446772773
103666742476663
1111940695998a2
124b2780777933
13207a06a75646
14c96852b2ac7
15655a8c10493
hex355bae1ff77

3666742476663 has 64 divisors (see below), whose sum is σ = 5841862041600. Its totient is φ = 2001447100800.

The previous prime is 3666742476611. The next prime is 3666742476667.

It is a happy number.

3666742476663 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3666742476663 - 29 = 3666742476151 is a prime.

It is a super-2 number, since 2×36667424766632 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3666742476594 and 3666742476603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666742476667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65898268 + ... + 65953886.

It is an arithmetic number, because the mean of its divisors is an integer number (91279094400).

Almost surely, 23666742476663 is an apocalyptic number.

3666742476663 is a deficient number, since it is larger than the sum of its proper divisors (2175119564937).

3666742476663 is a wasteful number, since it uses less digits than its factorization.

3666742476663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56812.

The product of its digits is 658409472, while the sum is 66.

The spelling of 3666742476663 in words is "three trillion, six hundred sixty-six billion, seven hundred forty-two million, four hundred seventy-six thousand, six hundred sixty-three".

Divisors: 1 3 7 21 29 87 103 203 309 609 721 1051 2163 2987 3153 7357 8961 20909 22071 30479 55619 62727 91437 108253 166857 213353 324759 389333 640059 757771 1167999 1612951 2273313 3139337 4838853 5728757 9418011 11290657 17186271 21975359 33871971 40101299 58455569 65926077 120303897 166133953 175366707 409188983 498401859 1162937671 1227566949 1695211501 3488813013 5085634503 6020923607 11866480507 18062770821 35599441521 42146465249 126439395747 174606784603 523820353809 1222247492221 3666742476663