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206316401160 = 2335131118111113
BaseRepresentation
bin1100000000100101101…
…0100111001000001000
3201201112112201002222010
43000021122213020020
511340013444314120
6234440324255520
720622466321512
oct3001132471010
9651475632863
10206316401160
117a553258951
1233b9ab415a0
13165bcb0905c
149db2d32bb2
155577c5a7e0
hex30096a7208

206316401160 has 128 divisors (see below), whose sum is σ = 624258264960. Its totient is φ = 54546585600.

The previous prime is 206316401119. The next prime is 206316401171. The reversal of 206316401160 is 61104613602.

It is a super-2 number, since 2×2063164011602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18559764 + ... + 18570876.

It is an arithmetic number, because the mean of its divisors is an integer number (4877017695).

Almost surely, 2206316401160 is an apocalyptic number.

206316401160 is a gapful number since it is divisible by the number (20) 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 206316401160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312129132480).

206316401160 is an abundant number, since it is smaller than the sum of its proper divisors (417941863800).

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

206316401160 is a wasteful number, since it uses less digits than its factorization.

206316401160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12439 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 206316401160 in words is "two hundred six billion, three hundred sixteen million, four hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1181 1310 1572 1965 2362 2620 3144 3543 3930 4724 5240 5905 7086 7860 9448 11113 11810 14172 15720 17715 22226 23620 28344 33339 35430 44452 47240 55565 66678 70860 88904 111130 133356 141720 154711 166695 222260 266712 309422 333390 444520 464133 618844 666780 773555 928266 1237688 1333560 1455803 1547110 1856532 2320665 2911606 3094220 3713064 4367409 4641330 5823212 6188440 7279015 8734818 9282660 11646424 13124453 14558030 17469636 18565320 21837045 26248906 29116060 34939272 39373359 43674090 52497812 58232120 65622265 78746718 87348180 104995624 131244530 157493436 174696360 196866795 262489060 314986872 393733590 524978120 787467180 1574934360 1719303343 3438606686 5157910029 6877213372 8596516715 10315820058 13754426744 17193033430 20631640116 25789550145 34386066860 41263280232 51579100290 68772133720 103158200580 206316401160