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66303306720 = 2532576577709
BaseRepresentation
bin111101101111111111…
…000010101111100000
320100010210100222000200
4331233333002233200
52041242121303340
650243113545200
74535025544140
oct755777025740
9210123328020
1066303306720
1126134540762
1210a24a15200
136338610b91
1432cda96920
151ad0cee330
hexf6ffc2be0

66303306720 has 144 divisors (see below), whose sum is σ = 258582935520. Its totient is φ = 15155039232.

The previous prime is 66303306703. The next prime is 66303306779. The reversal of 66303306720 is 2760330366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×663033067202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3278775 + ... + 3298934.

It is an arithmetic number, because the mean of its divisors is an integer number (1795714830).

Almost surely, 266303306720 is an apocalyptic number.

66303306720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66303306720 is an abundant number, since it is smaller than the sum of its proper divisors (192279628800).

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

66303306720 is a wasteful number, since it uses less digits than its factorization.

66303306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577737 (or 6577726 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 66303306720 in words is "sixty-six billion, three hundred three million, three hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 6577709 13155418 19733127 26310836 32888545 39466254 46043963 52621672 59199381 65777090 78932508 92087926 98665635 105243344 118398762 131554180 138131889 157865016 184175852 197331270 210486688 230219815 236797524 263108360 276263778 295996905 315730032 368351704 394662540 414395667 460439630 473595048 526216720 552527556 591993810 631460064 690659445 736703408 789325080 828791334 920879260 947190096 1052433440 1105055112 1183987620 1381318890 1473406816 1578650160 1657582668 1841758520 1894380192 2071978335 2210110224 2367975240 2762637780 3157300320 3315165336 3683517040 4143956670 4420220448 4735950480 5525275560 6630330672 7367034080 8287913340 9471900960 11050551120 13260661344 16575826680 22101102240 33151653360 66303306720