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20354464400445 = 3257269397605071
BaseRepresentation
bin1001010000011001001001…
…00111101100010000111101
32200001212102121202202010100
410220030210213230100331
510131441420341303240
6111142413432231313
74200363413510610
oct450144447542075
980055377682110
1020354464400445
11653830957252a
1223489b8b3b539
13b48557a73216
145052389b0177
152546edce4e30
hex1283249ec43d

20354464400445 has 96 divisors (see below), whose sum is σ = 40573127162880. Its totient is φ = 9246941130240.

The previous prime is 20354464400429. The next prime is 20354464400477. The reversal of 20354464400445 is 54400446445302.

20354464400445 is a `hidden beast` number, since 2 + 0 + 3 + 544 + 64 + 4 + 0 + 0 + 4 + 45 = 666.

It is not a de Polignac number, because 20354464400445 - 24 = 20354464400429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20354464400445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33337260 + ... + 33942330.

It is an arithmetic number, because the mean of its divisors is an integer number (422636741280).

Almost surely, 220354464400445 is an apocalyptic number.

It is an amenable number.

20354464400445 is a deficient number, since it is larger than the sum of its proper divisors (20218662762435).

20354464400445 is a wasteful number, since it uses less digits than its factorization.

20354464400445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605755 (or 605752 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

The spelling of 20354464400445 in words is "twenty trillion, three hundred fifty-four billion, four hundred sixty-four million, four hundred thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 269 315 397 807 1191 1345 1883 1985 2421 2779 3573 4035 5649 5955 8337 9415 12105 13895 16947 17865 25011 28245 41685 84735 106793 125055 320379 533965 605071 747551 961137 1601895 1815213 2242653 3025355 3737755 4235497 4805685 5445639 6727959 9076065 11213265 12706491 21177485 27228195 33639795 38119473 63532455 162764099 190597365 240213187 488292297 720639561 813820495 1139348693 1201065935 1464876891 1681492309 2161918683 2441461485 3418046079 3603197805 5044476927 5696743465 7324384455 8407461545 10254138237 10809593415 15133430781 17090230395 25222384635 51270691185 64617347303 75667153905 193852041909 323086736515 452321431121 581556125727 969260209545 1356964293363 2261607155605 2907780628635 4070892880089 6784821466815 20354464400445