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216066510216 = 233216691798037
BaseRepresentation
bin1100100100111010010…
…0010100110110001000
3202122201001020222011100
43021032210110312020
512020001011311331
6243132023101400
721416221014444
oct3111644246610
9678631228140
10216066510216
11836a6a04117
1235a602a1860
13174b4ac165b
14a659c07824
155948c06ae6
hex324e914d88

216066510216 has 48 divisors (see below), whose sum is σ = 585531074700. Its totient is φ = 71978977152.

The previous prime is 216066510211. The next prime is 216066510217. The reversal of 216066510216 is 612015660612.

216066510216 is a `hidden beast` number, since 2 + 1 + 60 + 66 + 510 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201071528100 + 14994982116 = 448410^2 + 122454^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216066510211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778851 + ... + 1019186.

Almost surely, 2216066510216 is an apocalyptic number.

It is an amenable number.

216066510216 is an abundant number, since it is smaller than the sum of its proper divisors (369464564484).

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

216066510216 is a wasteful number, since it uses less digits than its factorization.

216066510216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799718 (or 1799711 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 216066510216 in words is "two hundred sixteen billion, sixty-six million, five hundred ten thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1669 3338 5007 6676 10014 13352 15021 20028 30042 40056 60084 120168 1798037 3596074 5394111 7192148 10788222 14384296 16182333 21576444 32364666 43152888 64729332 129458664 3000923753 6001847506 9002771259 12003695012 18005542518 24007390024 27008313777 36011085036 54016627554 72022170072 108033255108 216066510216