Search a number
-
+
208406938866 = 237217109738011
BaseRepresentation
bin1100001000011000000…
…1011000010011110010
3201220221020102102120120
43002012001120103302
511403304134020431
6235424003551110
721025342515600
oct3020601302362
9656836372516
10208406938866
1180426313865
123448308b496
1316863c63009
14a130838870
15564b554196
hex30860584f2

208406938866 has 96 divisors (see below), whose sum is σ = 513868110912. Its totient is φ = 55989642240.

The previous prime is 208406938847. The next prime is 208406938867. The reversal of 208406938866 is 668839604802.

It is a super-2 number, since 2×2084069388662 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208406938867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5463801 + ... + 5501811.

It is an arithmetic number, because the mean of its divisors is an integer number (5352792822).

Almost surely, 2208406938866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208406938866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256934055456).

208406938866 is an abundant number, since it is smaller than the sum of its proper divisors (305461172046).

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

208406938866 is a wasteful number, since it uses less digits than its factorization.

208406938866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39144 (or 39137 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 208406938866 in words is "two hundred eight billion, four hundred six million, nine hundred thirty-eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1097 1666 2194 2499 3291 4998 6582 7679 15358 18649 23037 37298 38011 46074 53753 55947 76022 107506 111894 114033 130543 161259 228066 261086 266077 322518 391629 532154 646187 783258 798231 913801 1292374 1596462 1827602 1862539 1938561 2741403 3725078 3877122 4523309 5482806 5587617 9046618 11175234 13569927 27139854 31663163 41698067 63326326 83396134 94989489 125094201 189978978 250188402 291886469 583772938 708867139 875659407 1417734278 1751318814 2043205283 2126601417 4086410566 4253202834 4962069973 6129615849 9924139946 12259231698 14886209919 29772419838 34734489811 69468979622 104203469433 208406938866