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450055153164420 = 22345327184931771
BaseRepresentation
bin110011001010100101010000…
…1100010001010000010000100
32012000111212000102211102120000
41212111022201202022002010
5432442200423202230140
64233104252204041300
7163540261150463256
oct14625124142120204
92160455012742500
10450055153164420
11120446356058501
1242587854233230
131641803250865b
147d1caddb13cd6
153706e79c41a30
hex19952a188a084

450055153164420 has 120 divisors (see below), whose sum is σ = 1412271324074688. Its totient is φ = 119978015572800.

The previous prime is 450055153164391. The next prime is 450055153164503. The reversal of 450055153164420 is 24461351550054.

450055153164420 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 5 + 51 + 531 + 6 + 44 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37166866 + ... + 47764905.

Almost surely, 2450055153164420 is an apocalyptic number.

It is an amenable number.

450055153164420 is an abundant number, since it is smaller than the sum of its proper divisors (962216170910268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450055153164420 is a wasteful number, since it uses less digits than its factorization.

450055153164420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84935063 (or 84935052 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 450055153164420 in words is "four hundred fifty trillion, fifty-five billion, one hundred fifty-three million, one hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 3271 6542 9813 13084 16355 19626 29439 32710 39252 49065 58878 65420 88317 98130 117756 147195 176634 196260 264951 294390 353268 441585 529902 588780 883170 1059804 1324755 1766340 2649510 5299020 84931771 169863542 254795313 339727084 424658855 509590626 764385939 849317710 1019181252 1273976565 1528771878 1698635420 2293157817 2547953130 3057543756 3821929695 4586315634 5095906260 6879473451 7643859390 9172631268 11465789085 13758946902 15287718780 22931578170 27517893804 34397367255 45863156340 68794734510 137589469020 277811822941 555623645882 833435468823 1111247291764 1389059114705 1666870937646 2500306406469 2778118229410 3333741875292 4167177344115 5000612812938 5556236458820 7500919219407 8334354688230 10001225625876 12501532032345 15001838438814 16668709376460 22502757658221 25003064064690 30003676877628 37504596097035 45005515316442 50006128129380 75009192194070 90011030632884 112513788291105 150018384388140 225027576582210 450055153164420