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216664155622332 = 22321110718089282679
BaseRepresentation
bin110001010000111000001110…
…000010000000101110111100
31001102010220001112101012200200
4301100320032002000232330
5211344311142314403312
62044450050005323500
763431316520100115
oct6120701602005674
91042126045335620
10216664155622332
11630438304759a0
1220372b6b406590
1393b845aaa02a2
143b7085b53d20c
151a0adea2a10dc
hexc50e0e080bbc

216664155622332 has 144 divisors (see below), whose sum is σ = 603087106003200. Its totient is φ = 65038373326080.

The previous prime is 216664155622331. The next prime is 216664155622339. The reversal of 216664155622332 is 233226551466612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216664155622331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766325769 + ... + 766608447.

It is an arithmetic number, because the mean of its divisors is an integer number (4188104902800).

Almost surely, 2216664155622332 is an apocalyptic number.

216664155622332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216664155622332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301543553001600).

216664155622332 is an abundant number, since it is smaller than the sum of its proper divisors (386422950380868).

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

216664155622332 is a wasteful number, since it uses less digits than its factorization.

216664155622332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300896 (or 300891 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 216664155622332 in words is "two hundred sixteen trillion, six hundred sixty-four billion, one hundred fifty-five million, six hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 396 428 642 963 1177 1284 1926 2354 3531 3852 4708 7062 10593 14124 18089 21186 36178 42372 54267 72356 108534 162801 198979 217068 282679 325602 397958 565358 596937 651204 795916 848037 1130716 1193874 1696074 1790811 1935523 2387748 2544111 3109469 3392148 3581622 3871046 5088222 5806569 6218938 7163244 7742092 9328407 10176444 11613138 12437876 17419707 18656814 21290753 23226276 27985221 30246653 34839414 37313628 42581506 55970442 60493306 63872259 69678828 85163012 90739959 111940884 120986612 127744518 181479918 191616777 255489036 272219877 332713183 362959836 383233554 544439754 665426366 766467108 998139549 1088879508 1330852732 1996279098 2994418647 3992558196 5113380431 5988837294 10226760862 11977674588 15340141293 20453521724 30680282586 46020423879 56247184741 61360565172 92040847758 112494369482 168741554223 184081695516 224988738964 337483108446 506224662669 547131706117 674966216892 1012449325338 1094263412234 1641395118351 2024898650676 2188526824468 3282790236702 4924185355053 6018448767287 6565580473404 9848370710106 12036897534574 18055346301861 19696741420212 24073795069148 36110692603722 54166038905583 72221385207444 108332077811166 216664155622332