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3446453679009 = 3117326914273727
BaseRepresentation
bin110010001001110000101…
…001011011001110100001
3110012110220021122001012220
4302021300221123032201
5422431314120212014
611155140131141253
7503666222625435
oct62116051331641
913173807561186
103446453679009
1111096a6286730
12477b42444829
131bcccb2a3973
14bcb488109c5
155e9b44c56a9
hex32270a5b3a1

3446453679009 has 64 divisors (see below), whose sum is σ = 5105529999360. Its totient is φ = 2050499473920.

The previous prime is 3446453678947. The next prime is 3446453679073. The reversal of 3446453679009 is 9009763546443.

3446453679009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3446453679009 - 212 = 3446453674913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3446453679079) 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 63 ways as a sum of consecutive naturals, for example, 924724104 + ... + 924727830.

It is an arithmetic number, because the mean of its divisors is an integer number (79773906240).

Almost surely, 23446453679009 is an apocalyptic number.

It is an amenable number.

3446453679009 is a deficient number, since it is larger than the sum of its proper divisors (1659076320351).

3446453679009 is a wasteful number, since it uses less digits than its factorization.

3446453679009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510.

The product of its (nonzero) digits is 58786560, while the sum is 60.

The spelling of 3446453679009 in words is "three trillion, four hundred forty-six billion, four hundred fifty-three million, six hundred seventy-nine thousand, nine".

Divisors: 1 3 11 33 73 219 269 803 807 1427 2409 2959 3727 4281 8877 11181 15697 19637 40997 47091 58911 104171 122991 216007 272071 312513 383863 648021 816213 1002563 1145881 1151589 2992781 3007689 3437643 4222493 5318429 8978343 11028193 12667479 15955287 28021999 33084579 58502719 73187099 84065997 175508157 219561297 308241989 388245317 805058089 924725967 1164735951 1430657401 2415174267 4270698487 4291972203 12812095461 15737231411 47211694233 104437990273 313313970819 1148817893003 3446453679009