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212214742857 = 3513891993793
BaseRepresentation
bin1100010110100011111…
…0111111111101001001
3202021202121110220200000
43011220332333331021
511434103433232412
6241253510233213
721221610360135
oct3055076777511
9667677426600
10212214742857
1181aaa765307
1235166355809
131701cb00580
14a3b243c3c5
1557c09b24dc
hex3168fbff49

212214742857 has 96 divisors (see below), whose sum is σ = 348016032000. Its totient is φ = 128443594752.

The previous prime is 212214742847. The next prime is 212214742889. The reversal of 212214742857 is 758247412212.

212214742857 is a `hidden beast` number, since 2 + 1 + 2 + 214 + 7 + 428 + 5 + 7 = 666.

It is not a de Polignac number, because 212214742857 - 235 = 177855004489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212214742847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55947153 + ... + 55950945.

It is an arithmetic number, because the mean of its divisors is an integer number (3625167000).

Almost surely, 2212214742857 is an apocalyptic number.

212214742857 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

212214742857 is a deficient number, since it is larger than the sum of its proper divisors (135801289143).

212214742857 is a wasteful number, since it uses less digits than its factorization.

212214742857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4097 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The spelling of 212214742857 in words is "two hundred twelve billion, two hundred fourteen million, seven hundred forty-two thousand, eight hundred fifty-seven".

Divisors: 1 3 9 13 27 39 81 89 117 199 243 267 351 597 801 1053 1157 1791 2403 2587 3159 3471 3793 5373 7209 7761 10413 11379 16119 17711 21627 23283 31239 34137 48357 49309 53133 69849 93717 102411 147927 159399 209547 230243 281151 307233 337577 443781 478197 628641 690729 754807 921699 1012731 1331343 1434591 2072187 2264421 3038193 3994029 4303773 4388501 6216561 6793263 9114579 9812491 11982087 13165503 18649683 20379789 27343737 29437473 39496509 55949049 61139367 67177823 82031211 88312419 118489527 183418101 201533469 264937257 355468581 604600407 794811771 873311699 1066405743 1813801221 2384435313 2619935097 5441403663 7859805291 16324210989 23579415873 70738247619 212214742857