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211319918679864 = 233113773100802489
BaseRepresentation
bin110000000011000111000000…
…101011111101011100111000
31000201012222122110201112121210
4300003013000223331130320
5210144231143140223424
62025235010324403120
762340234403435461
oct6003070053753470
91021188573645553
10211319918679864
1161373301aa5555
121b84b2712464a0
1390bb4c90b6227
143a27d1d895d68
151966db195d729
hexc031c0afd738

211319918679864 has 64 divisors (see below), whose sum is σ = 533664510458400. Its totient is φ = 69726290579456.

The previous prime is 211319918679809. The next prime is 211319918679997. The reversal of 211319918679864 is 468976819913112.

It is a super-2 number, since 2×2113199186798642 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48304869 + ... + 52497620.

Almost surely, 2211319918679864 is an apocalyptic number.

211319918679864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211319918679864 is an abundant number, since it is smaller than the sum of its proper divisors (322344591778536).

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

211319918679864 is a wasteful number, since it uses less digits than its factorization.

211319918679864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100803384 (or 100803380 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 75.

The spelling of 211319918679864 in words is "two hundred eleven trillion, three hundred nineteen billion, nine hundred eighteen million, six hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 678 773 904 1356 1546 2319 2712 3092 4638 6184 9276 18552 87349 174698 262047 349396 524094 698792 1048188 2096376 100802489 201604978 302407467 403209956 604814934 806419912 1209629868 2419259736 11390681257 22781362514 34172043771 45562725028 68344087542 77920323997 91125450056 136688175084 155840647994 233760971991 273376350168 311681295988 467521943982 623362591976 935043887964 1870087775928 8804996611661 17609993223322 26414989834983 35219986446644 52829979669966 70439972893288 105659959339932 211319918679864