Search a number
-
+
218071633117 = 1322437529489
BaseRepresentation
bin1100101100011000010…
…1010000110011011101
3202211212210020202200111
43023012011100303131
512033102314224432
6244103011530021
721520006204012
oct3130605206335
9684783222614
10218071633117
118453582a688
123631b8b9911
1317744340700
14a7aa237709
155a14c7c347
hex32c6150cdd

218071633117 has 12 divisors (see below), whose sum is σ = 236234081460. Its totient is φ = 201213911808.

The previous prime is 218071633111. The next prime is 218071633121. The reversal of 218071633117 is 711336170812.

It can be written as a sum of positive squares in 6 ways, for example, as 373803556 + 217697829561 = 19334^2 + 466581^2 .

It is a de Polignac number, because none of the positive numbers 2k-218071633117 is a prime.

It is a super-2 number, since 2×2180716331172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 218071633117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218071633111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147109 + ... + 676597.

It is an arithmetic number, because the mean of its divisors is an integer number (19686173455).

Almost surely, 2218071633117 is an apocalyptic number.

It is an amenable number.

218071633117 is a deficient number, since it is larger than the sum of its proper divisors (18162448343).

218071633117 is a wasteful number, since it uses less digits than its factorization.

218071633117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531952 (or 531939 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 218071633117 in words is "two hundred eighteen billion, seventy-one million, six hundred thirty-three thousand, one hundred seventeen".

Divisors: 1 13 169 2437 31681 411853 529489 6883357 89483641 1290364693 16774741009 218071633117