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550214208288 = 25321726610609
BaseRepresentation
bin10000000000110110101…
…00101000101100100000
31221121012101002210101200
420000123110220230200
533003314314131123
61100433120001200
754515551414143
oct10003324505440
91847171083350
10550214208288
111a2387638398
128a775760200
133cb673aac64
141c8b819405a
15e4a41dc143
hex801b528b20

550214208288 has 108 divisors (see below), whose sum is σ = 1662125504130. Its totient is φ = 172616196096.

The previous prime is 550214208259. The next prime is 550214208293. The reversal of 550214208288 is 882802412055.

550214208288 is a `hidden beast` number, since 5 + 50 + 21 + 420 + 82 + 88 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 520804702224 + 29409506064 = 721668^2 + 171492^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3222073 + ... + 3388536.

Almost surely, 2550214208288 is an apocalyptic number.

It is an amenable number.

550214208288 is an abundant number, since it is smaller than the sum of its proper divisors (1111911295842).

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

550214208288 is a wasteful number, since it uses less digits than its factorization.

550214208288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610659 (or 6610631 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 550214208288 in words is "five hundred fifty billion, two hundred fourteen million, two hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 5202 6936 9248 10404 13872 20808 27744 41616 83232 6610609 13221218 19831827 26442436 39663654 52884872 59495481 79327308 105769744 112380353 118990962 158654616 211539488 224760706 237981924 317309232 337141059 449521412 475963848 634618464 674282118 899042824 951927696 1011423177 1348564236 1798085648 1903855392 1910466001 2022846354 2697128472 3596171296 3820932002 4045692708 5394256944 5731398003 7641864004 8091385416 10788513888 11462796006 15283728008 16182770832 17194194009 22925592012 30567456016 32365541664 34388388018 45851184024 61134912032 68776776036 91702368048 137553552072 183404736096 275107104144 550214208288