Search a number
-
+
206066006146 = 2711137310211381
BaseRepresentation
bin1011111111101001111…
…1011011100010000010
3201200220002112201120201
42333322133123202002
511334010344144041
6234355421355414
720613336103060
oct2777237334202
9650802481521
10206066006146
117a434985420
1233b2b108b6a
131657cc88920
149d8b993030
155560c99631
hex2ffa7db882

206066006146 has 128 divisors (see below), whose sum is σ = 421416156672. Its totient is φ = 72969984000.

The previous prime is 206066006131. The next prime is 206066006161. The reversal of 206066006146 is 641600660602.

It is an interprime number because it is at equal distance from previous prime (206066006131) and next prime (206066006161).

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 63 ways as a sum of consecutive naturals, for example, 149214376 + ... + 149215756.

It is an arithmetic number, because the mean of its divisors is an integer number (3292313724).

Almost surely, 2206066006146 is an apocalyptic number.

206066006146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

206066006146 is an abundant number, since it is smaller than the sum of its proper divisors (215350150526).

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

206066006146 is a wasteful number, since it uses less digits than its factorization.

206066006146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508.

The product of its (nonzero) digits is 62208, while the sum is 37.

Adding to 206066006146 its reverse (641600660602), we get a palindrome (847666666748).

The spelling of 206066006146 in words is "two hundred six billion, sixty-six million, six thousand, one hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 73 77 91 143 146 154 182 286 511 803 949 1001 1021 1022 1381 1606 1898 2002 2042 2762 5621 6643 7147 9667 10439 11231 11242 13273 13286 14294 15191 17953 19334 20878 22462 26546 30382 35906 73073 74533 78617 92911 100813 106337 125671 146003 146146 149066 157234 185822 197483 201626 212674 251342 292006 394966 521731 705691 819863 968929 1022021 1043462 1108943 1310569 1382381 1410001 1411382 1639726 1937858 2044042 2217886 2621138 2764762 2820002 5739041 6782503 7762601 9173983 9870007 10658219 11478082 13565006 14416259 15510011 15525202 18330013 18347966 19740014 21316438 28832518 31020022 36660026 74607533 100913813 102930073 108570077 128310091 149215066 201630143 201827626 205860146 217140154 256620182 403260286 720510511 1132230803 1338090949 1411411001 1441021022 2264461606 2676181898 2822822002 7925615621 9366636643 14719000439 15851231242 18733273286 29438000878 103033003073 206066006146