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66098226937680 = 24325713114727567
BaseRepresentation
bin11110000011101101100010…
…10101100011111101010000
322200000221002002020111212100
433001312301111203331100
532130423132044001210
6352325034541400400
716631303452563330
oct1701666125437520
9280027062214770
1066098226937680
111a074111a246a3
1274b6342569100
132ab606129cb02
141247257cc30c0
1579957728d5c0
hex3c1db1563f50

66098226937680 has 120 divisors (see below), whose sum is σ = 253691290075392. Its totient is φ = 15108166156032.

The previous prime is 66098226937649. The next prime is 66098226937703. The reversal of 66098226937680 is 8673962289066.

66098226937680 is a `hidden beast` number, since 6 + 609 + 8 + 2 + 2 + 6 + 9 + 3 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 66098226937599 and 66098226937608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6557358744 + ... + 6557368823.

Almost surely, 266098226937680 is an apocalyptic number.

66098226937680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66098226937680 is an abundant number, since it is smaller than the sum of its proper divisors (187593063137712).

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

66098226937680 is a wasteful number, since it uses less digits than its factorization.

66098226937680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13114727593 (or 13114727584 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 66098226937680 in words is "sixty-six trillion, ninety-eight billion, two hundred twenty-six million, nine hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 13114727567 26229455134 39344182701 52458910268 65573637835 78688365402 91803092969 104917820536 118032548103 131147275670 157376730804 183606185938 196720913505 209835641072 236065096206 262294551340 275409278907 314753461608 367212371876 393441827010 459015464845 472130192412 524589102680 550818557814 590162740515 629506923216 734424743752 786883654020 826227836721 918030929690 944260384824 1049178205360 1101637115628 1180325481030 1377046394535 1468849487504 1573767308040 1652455673442 1836061859380 1888520769648 2203274231256 2360650962060 2754092789070 3147534616080 3304911346884 3672123718760 4131139183605 4406548462512 4721301924120 5508185578140 6609822693768 7344247437520 8262278367210 9442603848240 11016371156280 13219645387536 16524556734420 22032742312560 33049113468840 66098226937680