Search a number
-
+
106654444150 = 25222354117681
BaseRepresentation
bin110001101010100011…
…0011010101001110110
3101012021221011010112011
41203111012122221312
53221412014203100
6120555114514434
710463665550212
oct1432506325166
9335257133464
10106654444150
1141260720521
1218806435a1a
13a099357267
14523ab49942
152b93546bba
hex18d519aa76

106654444150 has 48 divisors (see below), whose sum is σ = 199646471808. Its totient is φ = 42389568000.

The previous prime is 106654444129. The next prime is 106654444153. The reversal of 106654444150 is 51444456601.

It is a happy number.

It is a super-2 number, since 2×1066544441502 (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 (106654444153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6023310 + ... + 6040990.

It is an arithmetic number, because the mean of its divisors is an integer number (4159301496).

Almost surely, 2106654444150 is an apocalyptic number.

106654444150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106654444150 is a deficient number, since it is larger than the sum of its proper divisors (92992027658).

106654444150 is a wasteful number, since it uses less digits than its factorization.

106654444150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18457 (or 18452 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 106654444150 in words is "one hundred six billion, six hundred fifty-four million, four hundred forty-four thousand, one hundred fifty".

Divisors: 1 2 5 10 25 50 223 446 541 1082 1115 2230 2705 5410 5575 11150 13525 17681 27050 35362 88405 120643 176810 241286 442025 603215 884050 1206430 3016075 3942863 6032150 7885726 9565421 19130842 19714315 39428630 47827105 95654210 98571575 197143150 239135525 478271050 2133088883 4266177766 10665444415 21330888830 53327222075 106654444150