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206375168864 = 25411138631613
BaseRepresentation
bin1100000000110011101…
…0110010101101100000
3201201200122021211002202
43000030322302231200
511340124020400424
6234450224032332
720624111664104
oct3001472625540
9651618254082
10206375168864
117a5834479a7
1233bb67626a8
13165cc044147
149dbaa6d904
15557ceb82ae
hex300ceb2b60

206375168864 has 96 divisors (see below), whose sum is σ = 420641351424. Its totient is φ = 99602513920.

The previous prime is 206375168837. The next prime is 206375168869. The reversal of 206375168864 is 468861573602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206375168869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127944122 + ... + 127945734.

It is an arithmetic number, because the mean of its divisors is an integer number (4381680744).

Almost surely, 2206375168864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206375168864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210320675712).

206375168864 is an abundant number, since it is smaller than the sum of its proper divisors (214266182560).

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

206375168864 is a wasteful number, since it uses less digits than its factorization.

206375168864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 206375168864 in words is "two hundred six billion, three hundred seventy-five million, one hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 113 164 226 328 452 656 863 904 1312 1613 1726 1808 3226 3452 3616 4633 6452 6904 9266 12904 13808 18532 25808 27616 35383 37064 51616 66133 70766 74128 97519 132266 141532 148256 182269 195038 264532 283064 364538 390076 529064 566128 729076 780152 1058128 1132256 1392019 1458152 1560304 2116256 2784038 2916304 3120608 3998279 5568076 5832608 7473029 7996558 11136152 14946058 15993116 22272304 29892116 31986232 44544608 57072779 59784232 63972464 114145558 119568464 127944928 157298147 228291116 239136928 314596294 456582232 629192588 913164464 1258385176 1826328928 2516770352 5033540704 6449224027 12898448054 25796896108 51593792216 103187584432 206375168864