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216256017276 = 2232132291225691
BaseRepresentation
bin1100100101100111011…
…1001111001101111100
3202200012020211220222100
43021121313033031330
512020343020023101
6243202512545100
721424011550245
oct3113167171574
9680166756870
10216256017276
118379397a622
1235ab3852190
1317515143900
14a677057ccc
15595a68be86
hex3259dcf37c

216256017276 has 108 divisors (see below), whose sum is σ = 612343466280. Its totient is φ = 64245767040.

The previous prime is 216256017253. The next prime is 216256017277. The reversal of 216256017276 is 672710652612.

216256017276 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 560 + 17 + 2 + 76 = 666.

It is a super-2 number, since 2×2162560172762 (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 (216256017277) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 436410 + ... + 789281.

It is an arithmetic number, because the mean of its divisors is an integer number (5669846910).

Almost surely, 2216256017276 is an apocalyptic number.

216256017276 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

216256017276 is an abundant number, since it is smaller than the sum of its proper divisors (396087449004).

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

216256017276 is a wasteful number, since it uses less digits than its factorization.

216256017276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225756 (or 1225738 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 216256017276 its reverse (672710652612), we get a palindrome (888966669888).

The spelling of 216256017276 in words is "two hundred sixteen billion, two hundred fifty-six million, seventeen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 169 174 234 261 338 348 377 468 507 522 676 754 1014 1044 1131 1508 1521 2028 2262 3042 3393 4524 4901 6084 6786 9802 13572 14703 19604 29406 44109 58812 88218 176436 1225691 2451382 3677073 4902764 7354146 11031219 14708292 15933983 22062438 31867966 35545039 44124876 47801949 63735932 71090078 95603898 106635117 142180156 143405847 191207796 207141779 213270234 286811694 319905351 414283558 426540468 462085507 573623388 621425337 639810702 828567116 924171014 1242850674 1279621404 1386256521 1848342028 1864276011 2485701348 2772513042 3728552022 4158769563 5545026084 6007111591 7457104044 8317539126 12014223182 16635078252 18021334773 24028446364 36042669546 54064004319 72085339092 108128008638 216256017276