Search a number
-
+
66216630533100 = 22352415693945629
BaseRepresentation
bin11110000111001010000101…
…01111011011101111101100
322200110020200211111100222020
433003211002233123233230
532134343124404024400
6352455300005350140
716642664555542065
oct1703450257335754
9280406624440866
1066216630533100
111a10a351743393
127515287708350
132ac428080ca88
14124cc8b1cd56c
1579c6a70052a0
hex3c3942bdbbec

66216630533100 has 144 divisors (see below), whose sum is σ = 196294314172320. Its totient is φ = 17224046643200.

The previous prime is 66216630533071. The next prime is 66216630533113. The reversal of 66216630533100 is 133503661266.

It is a super-2 number, since 2×662166305331002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69551086 + ... + 70496714.

It is an arithmetic number, because the mean of its divisors is an integer number (1363154959530).

Almost surely, 266216630533100 is an apocalyptic number.

66216630533100 is a gapful number since it is divisible by the number (60) 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 66216630533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98147157086160).

66216630533100 is an abundant number, since it is smaller than the sum of its proper divisors (130077683639220).

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

66216630533100 is a wasteful number, since it uses less digits than its factorization.

66216630533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951380 (or 951373 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 66216630533100 in words is "sixty-six trillion, two hundred sixteen billion, six hundred thirty million, five hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 5693 6150 11386 12300 17079 22772 28465 34158 56930 68316 85395 113860 142325 170790 233413 284650 341580 426975 466826 569300 700239 853950 933652 945629 1167065 1400478 1707900 1891258 2334130 2800956 2836887 3501195 3782516 4668260 4728145 5673774 5835325 7002390 9456290 11347548 11670650 14004780 14184435 17505975 18912580 23341300 23640725 28368870 35011950 38770789 47281450 56737740 70023900 70922175 77541578 94562900 116312367 141844350 155083156 193853945 232624734 283688700 387707890 465249468 581561835 775415780 969269725 1163123670 1938539450 2326247340 2907809175 3877078900 5383465897 5815618350 10766931794 11631236700 16150397691 21533863588 26917329485 32300795382 53834658970 64601590764 80751988455 107669317940 134586647425 161503976910 220722101777 269173294850 323007953820 403759942275 441444203554 538346589700 662166305331 807519884550 882888407108 1103610508885 1324332610662 1615039769100 2207221017770 2648665221324 3310831526655 4414442035540 5518052544425 6621663053310 11036105088850 13243326106620 16554157633275 22072210177700 33108315266550 66216630533100