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3984006265665 = 3517149227461921
BaseRepresentation
bin111001111110011001010…
…001110011101101000001
3112002212102020122211000020
4321332121101303231001
51010233221101000130
612250121024444053
7560556250340046
oct71763121635501
915085366584006
103984006265665
1112a6675746308
12544163779629
1322b8c84273ca
14dab8115d1cd
156d976d00e10
hex39f99473b41

3984006265665 has 64 divisors (see below), whose sum is σ = 6824620396800. Its totient is φ = 1977638420480.

The previous prime is 3984006265663. The next prime is 3984006265669. The reversal of 3984006265665 is 5665626004893.

It is a happy number.

It is not a de Polignac number, because 3984006265665 - 21 = 3984006265663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3984006265599 and 3984006265608.

It is not an unprimeable number, because it can be changed into a prime (3984006265663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8393905 + ... + 8855825.

It is an arithmetic number, because the mean of its divisors is an integer number (106634693700).

Almost surely, 23984006265665 is an apocalyptic number.

It is an amenable number.

3984006265665 is a deficient number, since it is larger than the sum of its proper divisors (2840614131135).

3984006265665 is a wasteful number, since it uses less digits than its factorization.

3984006265665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462322.

The product of its (nonzero) digits is 55987200, while the sum is 60.

The spelling of 3984006265665 in words is "three trillion, nine hundred eighty-four billion, six million, two hundred sixty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 15 17 51 85 149 227 255 447 681 745 1135 2235 2533 3405 3859 7599 11577 12665 19295 33823 37995 57885 101469 169115 461921 507345 574991 1385763 1724973 2309605 2874955 6928815 7852657 8624865 23557971 39263285 68826229 104856067 117789855 206478687 314568201 344131145 524280335 1032393435 1170045893 1572841005 1782553139 3510137679 5347659417 5850229465 8912765695 15623553983 17550688395 26738297085 46870661949 78117769915 234353309745 265600417711 796801253133 1328002088555 3984006265665