Search a number
-
+
162166927532103 = 33133136734057631
BaseRepresentation
bin100100110111110101101110…
…000111000010000001000111
3210021012000012000011010202000
4210313311232013002001013
5132223420331422011403
61332522242534320343
746105113432325614
oct4467655607020107
9707160160133660
10162166927532103
11477426759aa66a
1216231053ab90b3
136c643777a7420
142c08cc79a350b
1513b350208e7a3
hex937d6e1c2047

162166927532103 has 64 divisors (see below), whose sum is σ = 267146700226560. Its totient is φ = 96549520492800.

The previous prime is 162166927532089. The next prime is 162166927532107. The reversal of 162166927532103 is 301235729661261.

162166927532103 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 6 + 6 + 92 + 7 + 532 + 10 + 3 = 666.

It is not a de Polignac number, because 162166927532103 - 26 = 162166927532039 is a prime.

It is a super-2 number, since 2×1621669275321032 (a number of 29 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 162166927532103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162166927532107) 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 63 ways as a sum of consecutive naturals, for example, 37937098 + ... + 41994728.

It is an arithmetic number, because the mean of its divisors is an integer number (4174167191040).

Almost surely, 2162166927532103 is an apocalyptic number.

162166927532103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

162166927532103 is a deficient number, since it is larger than the sum of its proper divisors (104979772694457).

162166927532103 is a wasteful number, since it uses less digits than its factorization.

162166927532103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061357 (or 4061351 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 162166927532103 in words is "one hundred sixty-two trillion, one hundred sixty-six billion, nine hundred twenty-seven million, five hundred thirty-two thousand, one hundred three".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 3673 10881 11019 33057 47749 99171 113863 143247 341589 429741 1024767 1289223 1480219 3074301 4057631 4440657 12172893 13321971 36518679 39965913 52749203 109556037 125786561 158247609 377359683 474742827 1132079049 1424228481 1635225293 3396237147 4905675879 14717027637 14903678663 44151082911 44711035989 134133107967 193747822619 402399323901 462014038553 581243467857 1386042115659 1743730403571 4158126346977 5231191210713 6006182501189 12474379040931 18018547503567 54055642510701 162166927532103