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5466672355905 = 335616765315173
BaseRepresentation
bin100111110001100111100…
…0100000101101001000001
3201100121102210111002202000
41033203033010011221001
51204031221110342110
615343204332414213
71102645144223415
oct117431704055101
921317383432660
105466672355905
111818448035742
12743589617369
13308674609077
1414c83462ad45
15973025171c0
hex4f8cf105a41

5466672355905 has 128 divisors (see below), whose sum is σ = 10041293744640. Its totient is φ = 2820448097280.

The previous prime is 5466672355891. The next prime is 5466672355919. The reversal of 5466672355905 is 5095532766645.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5466672355891) and next prime (5466672355919).

It is not a de Polignac number, because 5466672355905 - 27 = 5466672355777 is a prime.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 360281899 + ... + 360297071.

It is an arithmetic number, because the mean of its divisors is an integer number (78447607380).

Almost surely, 25466672355905 is an apocalyptic number.

It is an amenable number.

5466672355905 is a deficient number, since it is larger than the sum of its proper divisors (4574621388735).

5466672355905 is a wasteful number, since it uses less digits than its factorization.

5466672355905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15968 (or 15962 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 63.

The spelling of 5466672355905 in words is "five trillion, four hundred sixty-six billion, six hundred seventy-two million, three hundred fifty-five thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 61 67 135 183 201 305 335 549 603 653 915 1005 1647 1809 1959 2745 3015 3265 4087 5877 8235 9045 9795 12261 15173 17631 20435 29385 36783 39833 43751 45519 61305 75865 88155 110349 119499 131253 136557 183915 199165 218755 227595 358497 393759 409671 551745 597495 656265 682785 925553 1016591 1075491 1181277 1792485 1968795 2048355 2668811 2776659 3049773 4627765 5082955 5377455 5906385 8006433 8329977 9149319 9907969 13344055 13883295 15248865 24019299 24989931 27447957 29723907 40032165 41649885 45746595 49539845 62012051 72057897 89171721 120096495 124949655 137239785 148619535 186036153 267515163 310060255 360289485 445858605 558108459 604386109 663833923 930180765 1337575815 1674325377 1813158327 1991501769 2790542295 3021930545 3319169615 5439474981 5974505307 8371626885 9065791635 9957508845 16318424943 17923515921 27197374905 29872526535 40493869303 81592124715 89617579605 121481607909 202469346515 364444823727 607408039545 1093334471181 1822224118635 5466672355905