Search a number
-
+
238159712161 = 7217216818001
BaseRepresentation
bin1101110111001101101…
…1001100111110100001
3211202201202111220200001
43131303123030332201
512400222341242121
6301224205100001
723130551103100
oct3356333147641
9752652456601
10238159712161
1192003a487a8
123a1a7257601
13195c6046b07
14b7540ca037
1562dd5e5991
hex37736ccfa1

238159712161 has 18 divisors (see below), whose sum is σ = 294298216998. Its totient is φ = 192128832000.

The previous prime is 238159712117. The next prime is 238159712239. The reversal of 238159712161 is 161217951832.

It can be written as a sum of positive squares in 3 ways, for example, as 136681787025 + 101477925136 = 369705^2 + 318556^2 .

It is not a de Polignac number, because 238159712161 - 221 = 238157615009 is a prime.

It is a super-2 number, since 2×2381597121612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238159712101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8394840 + ... + 8423161.

Almost surely, 2238159712161 is an apocalyptic number.

It is an amenable number.

238159712161 is a deficient number, since it is larger than the sum of its proper divisors (56138504837).

238159712161 is a wasteful number, since it uses less digits than its factorization.

238159712161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16818049 (or 16818025 counting only the distinct ones).

The product of its digits is 181440, while the sum is 46.

The spelling of 238159712161 in words is "two hundred thirty-eight billion, one hundred fifty-nine million, seven hundred twelve thousand, one hundred sixty-one".

Divisors: 1 7 17 49 119 289 833 2023 14161 16818001 117726007 285906017 824082049 2001342119 4860402289 14009394833 34022816023 238159712161