Search a number
-
+
164406632023026 = 23215664158309777
BaseRepresentation
bin100101011000011011100110…
…111001101000001111110010
3210120010010020212021210110100
4211120123212321220033302
5133022114240244214101
61341355210350413230
746425662414355201
oct4530334671501762
9716103225253410
10164406632023026
1148426508783308
1216533134501216
13709762c125573
142c8547577b238
1514018d90a4e86
hex9586e6e683f2

164406632023026 has 24 divisors (see below), whose sum is σ = 356216649573564. Its totient is φ = 54801859875840.

The previous prime is 164406632023013. The next prime is 164406632023063. The reversal of 164406632023026 is 620320236604461.

164406632023026 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 6 + 632 + 0 + 2 + 3 + 0 + 2 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147671128304001 + 16735503719025 = 12152001^2 + 4090905^2 .

It is a super-3 number, since 3×1644066320230263 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26335351 + ... + 31974426.

Almost surely, 2164406632023026 is an apocalyptic number.

164406632023026 is an abundant number, since it is smaller than the sum of its proper divisors (191810017550538).

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

164406632023026 is a wasteful number, since it uses less digits than its factorization.

164406632023026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58466426 (or 58466423 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

Adding to 164406632023026 its reverse (620320236604461), we get a palindrome (784726868627487).

The spelling of 164406632023026 in words is "one hundred sixty-four trillion, four hundred six billion, six hundred thirty-two million, twenty-three thousand, twenty-six".

Divisors: 1 2 3 6 9 18 156641 313282 469923 939846 1409769 2819538 58309777 116619554 174929331 349858662 524787993 1049575986 9133701779057 18267403558114 27401105337171 54802210674342 82203316011513 164406632023026