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211021613211216 = 243174911891127851
BaseRepresentation
bin101111111110110001001100…
…010010111001111001010000
31000200011110200001100121220010
4233332301030102321321100
5210124334230440224331
62024445554003114520
762306544203000553
oct5776611422717120
91020143601317803
10211021613211216
1161268844376795
121b80149b372a40
13909933936a9c2
143a1770181469a
15195e252e22e46
hexbfec4c4b9e50

211021613211216 has 160 divisors (see below), whose sum is σ = 578433102483456. Its totient is φ = 66062160640000.

The previous prime is 211021613211151. The next prime is 211021613211217. The reversal of 211021613211216 is 612112316120112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211021613211217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7576791691 + ... + 7576819541.

Almost surely, 2211021613211216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211021613211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289216551241728).

211021613211216 is an abundant number, since it is smaller than the sum of its proper divisors (367411489272240).

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

211021613211216 is a wasteful number, since it uses less digits than its factorization.

211021613211216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47281 (or 47275 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

Adding to 211021613211216 its reverse (612112316120112), we get a palindrome (823133929331328).

The spelling of 211021613211216 in words is "two hundred eleven trillion, twenty-one billion, six hundred thirteen million, two hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 491 816 982 1473 1964 2946 3928 5892 7856 8347 11784 16694 18911 23568 25041 27851 33388 37822 50082 55702 56733 66776 75644 83553 100164 111404 113466 133552 151288 167106 200328 222808 226932 302576 321487 334212 400656 445616 453864 473467 642974 668424 907728 946934 964461 1285948 1336848 1420401 1893868 1928922 2571896 2840802 3787736 3857844 5143792 5681604 7575472 7715688 9285301 11363208 13674841 15431376 18570602 22726416 27349682 27855903 37141204 41024523 54699364 55711806 74282408 82049046 109398728 111423612 148564816 157850117 164098092 218797456 222847224 232472297 315700234 328196184 445694448 464944594 473550351 526690261 631400468 656392368 697416891 929889188 947100702 1053380522 1262800936 1394833782 1580070783 1859778376 1894201404 2106761044 2525601872 2789667564 3160141566 3719556752 3788402808 4213522088 5579335128 6320283132 7576805616 8427044176 8953734437 11158670256 12640566264 17907468874 25281132528 26861203311 35814937748 53722406622 71629875496 107444813244 143259750992 214889626488 258604918151 429779252976 517209836302 775814754453 1034419672604 1551629508906 2068839345208 3103259017812 4137678690416 4396283608567 6206518035624 8792567217134 12413036071248 13188850825701 17585134434268 26377701651402 35170268868536 52755403302804 70340537737072 105510806605608 211021613211216