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212535033502050 = 232527371823552411
BaseRepresentation
bin110000010100110010101011…
…001011001001100101100010
31000212112011001220122011201100
4300110302223023021211202
5210324133222034031200
62032005125124215230
762524102155135510
oct6024625313114542
91025464056564640
10212535033502050
11617a16686a9226
121ba0686883a516
139178c76c501ac
143a6aa715734b0
1519887cd58ed00
hexc14cab2c9962

212535033502050 has 144 divisors (see below), whose sum is σ = 670221159296832. Its totient is φ = 47266478467200.

The previous prime is 212535033502019. The next prime is 212535033502079. The reversal of 212535033502050 is 50205330535212.

212535033502050 is a `hidden beast` number, since 2 + 1 + 2 + 53 + 50 + 3 + 3 + 502 + 0 + 50 = 666.

It is a super-4 number, since 4×2125350335020504 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 212535033501996 and 212535033502014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 911659656 + ... + 911892755.

It is an arithmetic number, because the mean of its divisors is an integer number (4654313606228).

Almost surely, 2212535033502050 is an apocalyptic number.

212535033502050 is an abundant number, since it is smaller than the sum of its proper divisors (457686125794782).

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

212535033502050 is a wasteful number, since it uses less digits than its factorization.

212535033502050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823552473 (or 1823552465 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 212535033502050 in words is "two hundred twelve trillion, five hundred thirty-five billion, thirty-three million, five hundred two thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 37 42 45 50 63 70 74 75 90 105 111 126 150 175 185 210 222 225 259 315 333 350 370 450 518 525 555 630 666 777 925 1050 1110 1295 1554 1575 1665 1850 2331 2590 2775 3150 3330 3885 4662 5550 6475 7770 8325 11655 12950 16650 19425 23310 38850 58275 116550 1823552411 3647104822 5470657233 9117762055 10941314466 12764866877 16411971699 18235524110 25529733754 27353286165 32823943398 38294600631 45588810275 54706572330 63824334385 67471439207 76589201262 82059858495 91177620550 114883801893 127648668770 134942878414 136766430825 164119716990 191473003155 202414317621 229767603786 273532861650 319121671925 337357196035 382946006310 404828635242 410299292475 472300074449 574419009465 607242952863 638243343850 674714392070 820598584950 944600148898 957365015775 1012071588105 1148838018930 1214485905726 1416900223347 1686785980175 1914730031550 2024143176210 2361500372245 2833800446694 2872095047325 3036214764315 3373571960350 4250700670041 4723000744490 5060357940525 5744190094650 6072429528630 7084501116735 8501401340082 10120715881050 11807501861225 14169002233470 15181073821575 21253503350205 23615003722450 30362147643150 35422505583675 42507006700410 70845011167350 106267516751025 212535033502050