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216056041124 = 2271110115974349
BaseRepresentation
bin1100100100110111110…
…0011000111010100100
3202122200022120002021012
43021031330120322210
512014440321303444
6243131010441352
721416033022350
oct3111574307244
9678608502235
10216056041124
11836a1003580
1235a58893258
13174b2897421
14a658680460
155947d39b9e
hex324df18ea4

216056041124 has 96 divisors (see below), whose sum is σ = 476469907200. Its totient is φ = 83272896000.

The previous prime is 216056041073. The next prime is 216056041127. The reversal of 216056041124 is 421140650612.

216056041124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (216056041127) 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 31 ways as a sum of consecutive naturals, for example, 49677302 + ... + 49681650.

It is an arithmetic number, because the mean of its divisors is an integer number (4963228200).

Almost surely, 2216056041124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216056041124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238234953600).

216056041124 is an abundant number, since it is smaller than the sum of its proper divisors (260413866076).

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

216056041124 is a wasteful number, since it uses less digits than its factorization.

216056041124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 216056041124 its reverse (421140650612), we get a palindrome (637196691736).

The spelling of 216056041124 in words is "two hundred sixteen billion, fifty-six million, forty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1111 1414 1597 2222 2828 3194 4349 4444 6388 7777 8698 11179 15554 17396 17567 22358 30443 31108 35134 44716 47839 60886 70268 95678 121772 122969 161297 191356 245938 322594 334873 439249 491876 645188 669746 878498 1129079 1339492 1756996 1774267 2258158 3074743 3548534 4516316 4831739 6149486 6945353 7097068 9663478 12298972 12419869 13890706 19326956 24839738 27781412 33822173 48617471 49679476 67644346 76398883 97234942 135288692 152797766 194469884 305595532 534792181 701480653 1069584362 1402961306 2139168724 2805922612 4910364571 7716287183 9820729142 15432574366 19641458284 30865148732 54014010281 108028020562 216056041124