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206858992368 = 243753101311467
BaseRepresentation
bin1100000010100111000…
…0011011101011110000
3201202221100200121011210
43000221300123223300
511342121400223433
6235010230040120
720642105265210
oct3005160335360
9652840617153
10206858992368
117a801565736
12341107a9040
1316678354242
14a025014240
1555aa6d8463
hex3029c1baf0

206858992368 has 160 divisors (see below), whose sum is σ = 622918273536. Its totient is φ = 57925131264.

The previous prime is 206858992339. The next prime is 206858992369. The reversal of 206858992368 is 863299858602.

206858992368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206858992299 and 206858992308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206858992369) 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 31 ways as a sum of consecutive naturals, for example, 18033771 + ... + 18045237.

Almost surely, 2206858992368 is an apocalyptic number.

206858992368 is a gapful number since it is divisible by the number (28) 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 206858992368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311459136768).

206858992368 is an abundant number, since it is smaller than the sum of its proper divisors (416059281168).

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

206858992368 is a wasteful number, since it uses less digits than its factorization.

206858992368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 206858992368 in words is "two hundred six billion, eight hundred fifty-eight million, nine hundred ninety-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1013 1113 1272 1484 2026 2226 2544 2968 3039 4052 4452 5936 6078 7091 8104 8904 11467 12156 14182 16208 17808 21273 22934 24312 28364 34401 42546 45868 48624 53689 56728 68802 80269 85092 91736 107378 113456 137604 160538 161067 170184 183472 214756 240807 275208 321076 322134 340368 375823 429512 481614 550416 607751 642152 644268 751646 859024 963228 1127469 1215502 1284304 1288536 1503292 1823253 1926456 2254938 2431004 2577072 3006584 3646506 3852912 4254257 4509876 4862008 6013168 7293012 8508514 9019752 9724016 11616071 12762771 14586024 17017028 18039504 23232142 25525542 29172048 34034056 34848213 46464284 51051084 68068112 69696426 81312497 92928568 102102168 139392852 162624994 185857136 204204336 243937491 278785704 325249988 487874982 557571408 615651763 650499976 975749964 1231303526 1300999952 1846955289 1951499928 2462607052 3693910578 3902999856 4309562341 4925214104 7387821156 8619124682 9850428208 12928687023 14775642312 17238249364 25857374046 29551284624 34476498728 51714748092 68952997456 103429496184 206858992368