Search a number
-
+
681963219 = 3571921101
BaseRepresentation
bin101000101001011…
…110111011010011
31202112020022200000
4220221132323103
52344040310334
6151400501043
722620406650
oct5051367323
91675208600
10681963219
1131aa50073
1217047a783
13ab395742
1466800c27
153ed0d299
hex28a5eed3

681963219 has 48 divisors (see below), whose sum is σ = 1228980480. Its totient is φ = 369165600.

The previous prime is 681963199. The next prime is 681963223. The reversal of 681963219 is 912369186.

It is a happy number.

681963219 is a `hidden beast` number, since 6 + 8 + 1 + 9 + 632 + 1 + 9 = 666.

It is not a de Polignac number, because 681963219 - 215 = 681930451 is a prime.

It is a super-2 number, since 2×6819632192 = 930147664137683922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (681963229) 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, 21769 + ... + 42869.

It is an arithmetic number, because the mean of its divisors is an integer number (25603760).

Almost surely, 2681963219 is an apocalyptic number.

681963219 is a deficient number, since it is larger than the sum of its proper divisors (547017261).

681963219 is a wasteful number, since it uses less digits than its factorization.

681963219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21142 (or 21130 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 681963219 is about 26114.4254962655. The cubic root of 681963219 is about 880.2113899020.

The spelling of 681963219 in words is "six hundred eighty-one million, nine hundred sixty-three thousand, two hundred nineteen".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 243 399 513 567 1197 1539 1701 3591 4617 10773 21101 32319 63303 147707 189909 400919 443121 569727 1202757 1329363 1709181 2806433 3608271 3988089 5127543 8419299 10824813 11964267 25257897 32474439 35892801 75773691 97423317 227321073 681963219