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206390856448 = 287416741927
BaseRepresentation
bin1100000000110111011…
…0101000101100000000
3201201201201210211102101
43000031312220230000
511340142024401243
6234451544200144
720624362222360
oct3001566505400
9651651724371
10206390856448
117a591292247
1233bbba69054
131660237773a
149dbcb949a0
15557e56654d
hex300dda8b00

206390856448 has 144 divisors (see below), whose sum is σ = 489523152384. Its totient is φ = 85005803520.

The previous prime is 206390856433. The next prime is 206390856461. The reversal of 206390856448 is 844658093602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4901661 + ... + 4943587.

It is an arithmetic number, because the mean of its divisors is an integer number (3399466336).

Almost surely, 2206390856448 is an apocalyptic number.

206390856448 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 206390856448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244761576192).

206390856448 is an abundant number, since it is smaller than the sum of its proper divisors (283132295936).

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

206390856448 is an equidigital number, since it uses as much as digits as its factorization.

206390856448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42058 (or 42044 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 206390856448 in words is "two hundred six billion, three hundred ninety million, eight hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 67 82 112 128 134 164 224 256 268 287 328 448 469 536 574 656 896 938 1072 1148 1312 1792 1876 2144 2296 2624 2747 3752 4288 4592 5248 5494 7504 8576 9184 10496 10988 15008 17152 18368 19229 21976 30016 36736 38458 41927 43952 60032 73472 76916 83854 87904 120064 153832 167708 175808 293489 307664 335416 351616 586978 615328 670832 703232 1173956 1230656 1341664 1719007 2347912 2461312 2683328 2809109 3438014 4695824 4922624 5366656 5618218 6876028 9391648 10733312 11236436 12033049 13752056 18783296 19663763 22472872 24066098 27504112 37566592 39327526 44945744 48132196 55008224 75133184 78655052 89891488 96264392 110016448 115173469 157310104 179782976 192528784 220032896 230346938 314620208 359565952 385057568 440065792 460693876 629240416 719131904 770115136 806214283 921387752 1258480832 1540230272 1612428566 1842775504 2516961664 3080460544 3224857132 3685551008 5033923328 6449714264 7371102016 12899428528 14742204032 25798857056 29484408064 51597714112 103195428224 206390856448