Search a number
-
+
3363663168 = 26325839693
BaseRepresentation
bin1100100001111101…
…0110110101000000
322200102022210102100
43020133112311000
523342044210133
61313434550400
7146232444105
oct31037266500
98612283370
103363663168
111476777a18
1279a598400
13417b42748
1423ca2caac
1514a47ae13
hexc87d6d40

3363663168 has 42 divisors (see below), whose sum is σ = 9641334794. Its totient is φ = 1121220864.

The previous prime is 3363663151. The next prime is 3363663169. The reversal of 3363663168 is 8613663633.

3363663168 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 6 + 631 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1810672704 + 1552990464 = 42552^2 + 39408^2 .

It is a super-2 number, since 2×33636631682 = 22628459815519592448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3363663169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2919271 + ... + 2920422.

Almost surely, 23363663168 is an apocalyptic number.

It is an amenable number.

3363663168 is an abundant number, since it is smaller than the sum of its proper divisors (6277671626).

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

3363663168 is a wasteful number, since it uses less digits than its factorization.

3363663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839711 (or 5839698 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 3363663168 is about 57997.0962031721. The cubic root of 3363663168 is about 1498.3185852672.

The spelling of 3363663168 in words is "three billion, three hundred sixty-three million, six hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5839693 11679386 17519079 23358772 35038158 46717544 52557237 70076316 93435088 105114474 140152632 186870176 210228948 280305264 373740352 420457896 560610528 840915792 1121221056 1681831584 3363663168