Search a number
-
+
166475400102 = 2321123291260547
BaseRepresentation
bin1001101100001010110…
…1010000001110100110
3120220200221211120000100
42123002231100032212
510211420200300402
6204251105324530
715012262360464
oct2330255201646
9526627746010
10166475400102
11646690290a0
1228320336746
131291098670b
1480b3913834
1544e51ce71c
hex26c2b503a6

166475400102 has 96 divisors (see below), whose sum is σ = 424754254080. Its totient is φ = 46589780160.

The previous prime is 166475400101. The next prime is 166475400137. The reversal of 166475400102 is 201004574661.

166475400102 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 7 + 540 + 0 + 102 = 666.

It is a super-2 number, since 2×1664754001022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166475400101) 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, 498208 + ... + 762339.

It is an arithmetic number, because the mean of its divisors is an integer number (4424523480).

Almost surely, 2166475400102 is an apocalyptic number.

166475400102 is an abundant number, since it is smaller than the sum of its proper divisors (258278853978).

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

166475400102 is a wasteful number, since it uses less digits than its factorization.

166475400102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260618 (or 1260615 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 166475400102 its reverse (201004574661), we get a palindrome (367479974763).

The spelling of 166475400102 in words is "one hundred sixty-six billion, four hundred seventy-five million, four hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 23 29 33 46 58 66 69 87 99 138 174 198 207 253 261 319 414 506 522 638 667 759 957 1334 1518 1914 2001 2277 2871 4002 4554 5742 6003 7337 12006 14674 22011 44022 66033 132066 1260547 2521094 3781641 7563282 11344923 13866017 22689846 27732034 28992581 36555863 41598051 57985162 73111726 83196102 86977743 109667589 124794153 173955486 219335178 249588306 260933229 318918391 329002767 402114493 521866458 637836782 658005534 804228986 840784849 956755173 1206343479 1681569698 1913510346 2412686958 2522354547 2870265519 3619030437 5044709094 5740531038 7238060874 7567063641 9248633339 15134127282 18497266678 27745900017 55491800034 83237700051 166475400102