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3281981139216 = 243313584398351
BaseRepresentation
bin101111110000100101010…
…100011110100100010000
3102121202100220112100001000
4233300211110132210100
5412232444132423331
610551415445542000
7456054360251553
oct57604524364420
912552326470030
103281981139216
11105597587919a
124500a0a14900
131aa6495564c0
14b4bc4cdc69a
155a58a0710e6
hex2fc2551e910

3281981139216 has 80 divisors (see below), whose sum is σ = 10145155390720. Its totient is φ = 1009840348800.

The previous prime is 3281981139211. The next prime is 3281981139223. The reversal of 3281981139216 is 6129311891823.

It is a happy number.

3281981139216 is a `hidden beast` number, since 328 + 1 + 98 + 1 + 13 + 9 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3281981139211) 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 15 ways as a sum of consecutive naturals, for example, 292193560 + ... + 292204791.

It is an arithmetic number, because the mean of its divisors is an integer number (126814442384).

Almost surely, 23281981139216 is an apocalyptic number.

3281981139216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3281981139216 is an abundant number, since it is smaller than the sum of its proper divisors (6863174251504).

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

3281981139216 is a wasteful number, since it uses less digits than its factorization.

3281981139216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584398381 (or 584398369 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 3281981139216 in words is "three trillion, two hundred eighty-one billion, nine hundred eighty-one million, one hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 584398351 1168796702 1753195053 2337593404 3506390106 4675186808 5259585159 7012780212 7597178563 9350373616 10519170318 14025560424 15194357126 15778755477 21038340636 22791535689 28051120848 30388714252 31557510954 42076681272 45583071378 60777428504 63115021908 68374607067 84153362544 91166142756 121554857008 126230043816 136749214134 182332285512 205123821201 252460087632 273498428268 364664571024 410247642402 546996856536 820495284804 1093993713072 1640990569608 3281981139216