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206317038978 = 23412722812
BaseRepresentation
bin1100000000100101110…
…1000010110110000010
3201201112120220111220000
43000021131002312002
511340014130221403
6234440350100430
720622504616161
oct3001135026602
9651476814800
10206317038978
117a553654076
1233b9b1aa716
13165bcca046b
149db305b3d8
155577d347a3
hex3009742d82

206317038978 has 90 divisors (see below), whose sum is σ = 467636002713. Its totient is φ = 67988017440.

The previous prime is 206317038971. The next prime is 206317038979. The reversal of 206317038978 is 879830713602.

206317038978 is a `hidden beast` number, since 20 + 6 + 3 + 170 + 389 + 78 = 666.

206317038978 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 199731229569 + 6585809409 = 446913^2 + 81153^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=321183.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (206317038971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 734224198 + ... + 734224478.

Almost surely, 2206317038978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206317038978

206317038978 is an abundant number, since it is smaller than the sum of its proper divisors (261318963735).

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

206317038978 is an frugal number, since it uses more digits than its factorization.

206317038978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 206317038978 in words is "two hundred six billion, three hundred seventeen million, thirty-eight thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 281 381 562 762 843 1143 1686 2286 2529 3429 5058 6858 7587 10287 15174 16129 20574 22761 32258 35687 45522 48387 71374 78961 96774 107061 145161 157922 214122 236883 290322 321183 435483 473766 642366 710649 870966 963549 1306449 1421298 1927098 2131947 2612898 2890647 4263894 4532249 5781294 6395841 9064498 10028047 12791682 13596747 20056094 27193494 30084141 40790241 60168282 81580482 90252423 122370723 180504846 244741446 270757269 367112169 541514538 734224338 812271807 1273561969 1624543614 2547123938 3820685907 7641371814 11462057721 22924115442 34386173163 68772346326 103158519489 206317038978