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168818049 = 32612712
BaseRepresentation
bin10100000111111…
…11010110000001
3102202122211211100
422003333112001
5321204134144
624430205013
74116633621
oct1203772601
9382584740
10168818049
1187325554
1248653769
1328c8a34a
14185c6881
15ec4a269
hexa0ff581

168818049 has 27 divisors (see below), whose sum is σ = 251452227. Its totient is φ = 109141200.

The previous prime is 168818047. The next prime is 168818081. The reversal of 168818049 is 940818861.

The square root of 168818049 is 12993.

It is a perfect power (a square), and thus also a powerful number.

168818049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5489649 + 163328400 = 2343^2 + 12780^2 .

It is not a de Polignac number, because 168818049 - 21 = 168818047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 168817995 and 168818013.

It is not an unprimeable number, because it can be changed into a prime (168818047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2377684 + ... + 2377754.

Almost surely, 2168818049 is an apocalyptic number.

168818049 is the 12993-rd square number.

168818049 is the 6497-th centered octagonal number.

It is an amenable number.

168818049 is a deficient number, since it is larger than the sum of its proper divisors (82634178).

168818049 is an frugal number, since it uses more digits than its factorization.

168818049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The cubic root of 168818049 is about 552.6789947129.

The spelling of 168818049 in words is "one hundred sixty-eight million, eight hundred eighteen thousand, forty-nine".

Divisors: 1 3 9 61 71 183 213 549 639 3721 4331 5041 11163 12993 15123 33489 38979 45369 264191 307501 792573 922503 2377719 2767509 18757561 56272683 168818049