Search a number
-
+
166007353338 = 2341815661529
BaseRepresentation
bin1001101010011011001…
…1110010111111111010
3120212111100010022120000
42122212303302333322
510204440340301323
6204132425413430
714664550135611
oct2324663627772
9525440108500
10166007353338
1164448906692
122820b63a276
1312867a0b678
14806b6b8878
1544b9078e43
hex26a6cf2ffa

166007353338 has 40 divisors (see below), whose sum is σ = 374034640980. Its totient is φ = 55030052160.

The previous prime is 166007353333. The next prime is 166007353357. The reversal of 166007353338 is 833353700661.

166007353338 is a `hidden beast` number, since 1 + 6 + 600 + 7 + 3 + 5 + 3 + 3 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112495172409 + 53512180929 = 335403^2 + 231327^2 .

It is a junction number, because it is equal to n+sod(n) for n = 166007353293 and 166007353302.

It is not an unprimeable number, because it can be changed into a prime (166007353333) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2801443 + ... + 2860086.

Almost surely, 2166007353338 is an apocalyptic number.

166007353338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

166007353338 is an abundant number, since it is smaller than the sum of its proper divisors (208027287642).

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

166007353338 is a wasteful number, since it uses less digits than its factorization.

166007353338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661724 (or 5661715 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 166007353338 in words is "one hundred sixty-six billion, seven million, three hundred fifty-three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 362 543 1086 1629 3258 4887 9774 14661 29322 5661529 11323058 16984587 33969174 50953761 101907522 152861283 305722566 458583849 917167698 1024736749 2049473498 3074210247 6148420494 9222630741 18445261482 27667892223 55335784446 83003676669 166007353338