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21221603653164 = 22329197394778427
BaseRepresentation
bin1001101001101000010100…
…01001011011011000101100
32210010202200001020220110120
410310310022021123120230
510240143321013400124
6113045023052004540
74320132056525325
oct464641211333054
983122601226416
1021221603653164
11684203901a542
122468a80160750
13bac25b58ab65
145351b9a3344c
1526c0514add79
hex134d0a25b62c

21221603653164 has 96 divisors (see below), whose sum is σ = 51498284302080. Its totient is φ = 6793463400192.

The previous prime is 21221603653111. The next prime is 21221603653189. The reversal of 21221603653164 is 46135630612212.

It is a super-2 number, since 2×212216036531642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270551319 + ... + 270629745.

It is an arithmetic number, because the mean of its divisors is an integer number (536440461480).

Almost surely, 221221603653164 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 21221603653164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25749142151040).

21221603653164 is an abundant number, since it is smaller than the sum of its proper divisors (30276680648916).

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

21221603653164 is a wasteful number, since it uses less digits than its factorization.

21221603653164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82607 (or 82605 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 21221603653164 in words is "twenty-one trillion, two hundred twenty-one billion, six hundred three million, six hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 197 348 394 591 788 1182 2364 3947 5713 7894 11426 11841 15788 17139 22852 23682 34278 47364 68556 78427 114463 156854 228926 235281 313708 343389 457852 470562 686778 777559 941124 1373556 1555118 2274383 2332677 3110236 4548766 4665354 6823149 9097532 9330708 13646298 15450119 22549211 27292596 30900238 45098422 46350357 61800476 67647633 90196844 92700714 135295266 185401428 270590532 309551369 448053451 619102738 896106902 928654107 1238205476 1344160353 1792213804 1857308214 2688320706 3714616428 5376641412 8976989701 17953979402 26930969103 35907958804 53861938206 60981619693 107723876412 121963239386 182944859079 243926478772 365889718158 731779436316 1768466971097 3536933942194 5305400913291 7073867884388 10610801826582 21221603653164