Search a number
-
+
187936665216 = 2731792734181
BaseRepresentation
bin1010111100000111100…
…1011110111010000000
3122222002121222210011020
42233001321132322000
511034343241241331
6222200434545440
716402150203516
oct2570171367200
9588077883136
10187936665216
1172781391233
123050b738280
1314951010861
14914bcd84b6
154d4e392c96
hex2bc1e5ee80

187936665216 has 64 divisors (see below), whose sum is σ = 501995815200. Its totient is φ = 62295557120.

The previous prime is 187936665199. The next prime is 187936665281. The reversal of 187936665216 is 612566639781.

187936665216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 187936665216.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1298355 + ... + 1435826.

Almost surely, 2187936665216 is an apocalyptic number.

187936665216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

187936665216 is an abundant number, since it is smaller than the sum of its proper divisors (314059149984).

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

187936665216 is a wasteful number, since it uses less digits than its factorization.

187936665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734377 (or 2734365 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 187936665216 in words is "one hundred eighty-seven billion, nine hundred thirty-six million, six hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 716 1074 1432 2148 2864 4296 5728 8592 11456 17184 22912 34368 68736 2734181 5468362 8202543 10936724 16405086 21873448 32810172 43746896 65620344 87493792 131240688 174987584 262481376 349975168 489418399 524962752 978836798 1049925504 1468255197 1957673596 2936510394 3915347192 5873020788 7830694384 11746041576 15661388768 23492083152 31322777536 46984166304 62645555072 93968332608 187936665216