Search a number
-
+
209948846757 = 3131915711231607
BaseRepresentation
bin1100001110000111101…
…1010010101010100101
3202001220200210110120020
43003201323102222211
511414433401044012
6240241004225353
721111504516066
oct3034173225245
9661820713506
10209948846757
1181047718001
123483353b259
1316a4b539350
14a23952a56d
1556dbacaa8c
hex30e1ed2aa5

209948846757 has 64 divisors (see below), whose sum is σ = 319836088320. Its totient is φ = 121435801344.

The previous prime is 209948846749. The next prime is 209948846761. The reversal of 209948846757 is 757648849902.

209948846757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 209948846757 - 23 = 209948846749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 209948846691 and 209948846700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209948846257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130645648 + ... + 130647254.

It is an arithmetic number, because the mean of its divisors is an integer number (4997438880).

Almost surely, 2209948846757 is an apocalyptic number.

It is an amenable number.

209948846757 is a deficient number, since it is larger than the sum of its proper divisors (109887241563).

209948846757 is a wasteful number, since it uses less digits than its factorization.

209948846757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922.

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 209948846757 in words is "two hundred nine billion, nine hundred forty-eight million, eight hundred forty-six thousand, seven hundred fifty-seven".

Divisors: 1 3 13 19 39 57 157 247 471 741 1123 1607 2041 2983 3369 4821 6123 8949 14599 20891 21337 30533 38779 43797 62673 64011 91599 116337 176311 252299 277381 396929 528933 756897 832143 1190787 1804661 2292043 3279887 3349909 4793681 5413983 6876129 9839661 10049727 14381043 23460593 34288559 43548817 62317853 70381779 102865677 130646451 186953559 283331777 445751267 849995331 1337253801 3683313101 5383303763 11049939303 16149911289 69982948919 209948846757