Search a number
-
+
355035680649 = 321343161711411
BaseRepresentation
bin1010010101010011100…
…01101000111110001001
31020221102001021021120200
411022221301220332021
521304103113240044
6431033502442413
734436054330646
oct5125161507611
91227361237520
10355035680649
1112762a4277a1
1258984893409
1327630c40a10
1413280580dcd
15937e1a7369
hex52a9c68f89

355035680649 has 48 divisors (see below), whose sum is σ = 554504880384. Its totient is φ = 217604217600.

The previous prime is 355035680567. The next prime is 355035680653. The reversal of 355035680649 is 946086530553.

It is a happy number.

355035680649 is a `hidden beast` number, since 3 + 5 + 503 + 56 + 80 + 6 + 4 + 9 = 666.

It is not a de Polignac number, because 355035680649 - 212 = 355035676553 is a prime.

It is a super-2 number, since 2×3550356806492 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 355035680595 and 355035680604.

It is not an unprimeable number, because it can be changed into a prime (355035680849) 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 47 ways as a sum of consecutive naturals, for example, 31107754 + ... + 31119164.

It is an arithmetic number, because the mean of its divisors is an integer number (11552185008).

Almost surely, 2355035680649 is an apocalyptic number.

355035680649 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

355035680649 is a deficient number, since it is larger than the sum of its proper divisors (199469199735).

355035680649 is a wasteful number, since it uses less digits than its factorization.

355035680649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12478 (or 12475 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 355035680649 in words is "three hundred fifty-five billion, thirty-five million, six hundred eighty thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 117 431 617 1293 1851 3879 5553 5603 8021 11411 16809 24063 34233 50427 72189 102699 148343 265927 445029 797781 1335087 2393343 3457051 4918141 7040587 10371153 14754423 21121761 31113459 44263269 63365283 63935833 91527631 191807499 274582893 575422497 823748679 3034492997 9103478991 27310436973 39448408961 118345226883 355035680649