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209873147680 = 2557672796817
BaseRepresentation
bin1100001101110101101…
…0100001011100100000
3202001201102100112221201
43003131122201130200
511414310011211210
6240225301530544
721106565215060
oct3033532413440
9661642315851
10209873147680
1181008a14189
1234812113a54
1316a389537b1
14a22d4633a0
1556d512653a
hex30dd6a1720

209873147680 has 96 divisors (see below), whose sum is σ = 575115278976. Its totient is φ = 70882504704.

The previous prime is 209873147677. The next prime is 209873147681. The reversal of 209873147680 is 86741378902.

209873147680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2098731476802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209873147681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323369 + ... + 1473448.

It is an arithmetic number, because the mean of its divisors is an integer number (5990784156).

Almost surely, 2209873147680 is an apocalyptic number.

209873147680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209873147680 is an abundant number, since it is smaller than the sum of its proper divisors (365242131296).

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

209873147680 is a wasteful number, since it uses less digits than its factorization.

209873147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796906 (or 2796898 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 209873147680 in words is "two hundred nine billion, eight hundred seventy-three million, one hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1876 2144 2345 2680 3752 4690 5360 7504 9380 10720 15008 18760 37520 75040 2796817 5593634 11187268 13984085 19577719 22374536 27968170 39155438 44749072 55936340 78310876 89498144 97888595 111872680 156621752 187386739 195777190 223745360 313243504 374773478 391554380 447490720 626487008 749546956 783108760 936933695 1311707173 1499093912 1566217520 1873867390 2623414346 2998187824 3132435040 3747734780 5246828692 5996375648 6558535865 7495469560 10493657384 13117071730 14990939120 20987314768 26234143460 29981878240 41974629536 52468286920 104936573840 209873147680