Search a number
-
+
106661666550 = 23524191697083
BaseRepresentation
bin110001101010110000…
…1111101111011110110
3101012022102202001210110
41203111201331323312
53221420341312200
6120555533403450
710464114130605
oct1432541757366
9335272661713
10106661666550
114126480384a
1218808939586
13a09a9b577a
14523baa9a3c
152b93ec1b50
hex18d587def6

106661666550 has 48 divisors (see below), whose sum is σ = 265152404160. Its totient is φ = 28375211040.

The previous prime is 106661666533. The next prime is 106661666561. The reversal of 106661666550 is 55666166601.

It is a super-2 number, since 2×1066616665502 (a number of 23 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 106661666550.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 785692 + ... + 911391.

It is an arithmetic number, because the mean of its divisors is an integer number (5524008420).

Almost surely, 2106661666550 is an apocalyptic number.

106661666550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106661666550 is an abundant number, since it is smaller than the sum of its proper divisors (158490737610).

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

106661666550 is a wasteful number, since it uses less digits than its factorization.

106661666550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697517 (or 1697512 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 106661666550 in words is "one hundred six billion, six hundred sixty-one million, six hundred sixty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 419 838 1257 2095 2514 4190 6285 10475 12570 20950 31425 62850 1697083 3394166 5091249 8485415 10182498 16970830 25456245 42427075 50912490 84854150 127281225 254562450 711077777 1422155554 2133233331 3555388885 4266466662 7110777770 10666166655 17776944425 21332333310 35553888850 53330833275 106661666550