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206129343960 = 233251930135869
BaseRepresentation
bin1011111111111001000…
…1000010110111011000
3201201001111201121201200
42333332101002313120
511334123103001320
6234410003114200
720615035341321
oct2777621026730
9651044647650
10206129343960
117a467706021
1233b48372960
1316590133c17
149d9615d448
15556660b290
hex2ffe442dd8

206129343960 has 96 divisors (see below), whose sum is σ = 705179358000. Its totient is φ = 52074779904.

The previous prime is 206129343949. The next prime is 206129343961. The reversal of 206129343960 is 69343921602.

206129343960 is a `hidden beast` number, since 20 + 612 + 9 + 3 + 4 + 3 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206129343961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15061095 + ... + 15074774.

Almost surely, 2206129343960 is an apocalyptic number.

206129343960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206129343960 is an abundant number, since it is smaller than the sum of its proper divisors (499050014040).

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

206129343960 is a wasteful number, since it uses less digits than its factorization.

206129343960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30135905 (or 30135898 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 206129343960 in words is "two hundred six billion, one hundred twenty-nine million, three hundred forty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 30135869 60271738 90407607 120543476 150679345 180815214 241086952 271222821 301358690 361630428 452038035 542445642 572581511 602717380 723260856 904076070 1084891284 1145163022 1205434760 1356114105 1717744533 1808152140 2169782568 2290326044 2712228210 2862907555 3435489066 3616304280 4580652088 5153233599 5424456420 5725815110 6870978132 8588722665 10306467198 10848912840 11451630220 13741956264 17177445330 20612934396 22903260440 25766167995 34354890660 41225868792 51532335990 68709781320 103064671980 206129343960