Search a number
-
+
209929347981 = 32316113988741
BaseRepresentation
bin1100001110000011000…
…0111010001110001101
3202001212100002211021100
43003200300322032031
511414413403113411
6240235030253313
721111150005253
oct3034060721615
9661770084240
10209929347981
118103770a311
1234828ab7239
1316a474a0102
14a236ad25d3
1556da028456
hex30e0c3a38d

209929347981 has 48 divisors (see below), whose sum is σ = 320436712960. Its totient is φ = 132258096000.

The previous prime is 209929347967. The next prime is 209929347983. The reversal of 209929347981 is 189743929902.

209929347981 is a `hidden beast` number, since 209 + 9 + 2 + 9 + 347 + 9 + 81 = 666.

It is not a de Polignac number, because 209929347981 - 25 = 209929347949 is a prime.

It is a super-2 number, since 2×2099293479812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209929347983) 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 47 ways as a sum of consecutive naturals, for example, 2321271 + ... + 2410011.

Almost surely, 2209929347981 is an apocalyptic number.

It is an amenable number.

209929347981 is a deficient number, since it is larger than the sum of its proper divisors (110507364979).

209929347981 is a wasteful number, since it uses less digits than its factorization.

209929347981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88978 (or 88975 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 209929347981 in words is "two hundred nine billion, nine hundred twenty-nine million, three hundred forty-seven thousand, nine hundred eighty-one".

Divisors: 1 3 9 31 61 93 139 183 279 417 549 1251 1891 4309 5673 8479 12927 17019 25437 38781 76311 88741 262849 266223 788547 798669 2365641 2750971 5413201 8252913 12334999 16239603 24758739 37004997 48718809 111014991 167809231 382384969 503427693 752434939 1147154907 1510283079 2257304817 3441464721 6771914451 23325483109 69976449327 209929347981