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216093889881 = 31019132
BaseRepresentation
bin1100100101000000110…
…0110001010101011001
3202122202221210000000000
43021100030301111121
512020030013434011
6243134442003213
721420002520522
oct3112014612531
9678687700000
10216093889881
1183710404941
1235a694a6509
13174ba689a3c
14a65d6d3849
15594b314356
hex3250331559

216093889881 has 33 divisors (see below), whose sum is σ = 324308533759. Its totient is φ = 143987286096.

The previous prime is 216093889867. The next prime is 216093889889. The reversal of 216093889881 is 188988390612.

It is a happy number.

The square root of 216093889881 is 464859.

It is a perfect power (a square), and thus also a powerful number.

216093889881 is a `hidden beast` number, since 2 + 160 + 9 + 388 + 98 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188143400025 + 27950489856 = 433755^2 + 167184^2 .

It is not a de Polignac number, because 216093889881 - 25 = 216093889849 is a prime.

It is a super-2 number, since 2×2160938898812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216093889889) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 112959781 + ... + 112961693.

Almost surely, 2216093889881 is an apocalyptic number.

216093889881 is the 464859-th square number.

216093889881 is the 232430-th centered octagonal number.

It is an amenable number.

216093889881 is a deficient number, since it is larger than the sum of its proper divisors (108214643878).

216093889881 is an frugal number, since it uses more digits than its factorization.

216093889881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 216093889881 in words is "two hundred sixteen billion, ninety-three million, eight hundred eighty-nine thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 243 729 1913 2187 5739 6561 17217 19683 51651 59049 154953 464859 1394577 3659569 4183731 10978707 12551193 32936121 37653579 98808363 112960737 296425089 889275267 2667825801 8003477403 24010432209 72031296627 216093889881