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217077719056 = 24112105892
BaseRepresentation
bin1100101000101011010…
…1110010000000010000
3202202022112000200220121
43022022311302000100
512024033344002211
6243420224520024
721453250111252
oct3121265620020
9682275020817
10217077719056
1184075793300
12360a2a80014
1317616454693
14a714231cd2
1559a789e271
hex328ad72010

217077719056 has 45 divisors (see below), whose sum is σ = 462342957853. Its totient is φ = 98662372160.

The previous prime is 217077719041. The next prime is 217077719069. The reversal of 217077719056 is 650917770712.

The square root of 217077719056 is 465916.

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

It can be written as a sum of positive squares in only one way, i.e., 28860573456 + 188217145600 = 169884^2 + 433840^2 .

It is a super-2 number, since 2×2170777190562 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 217077718994 and 217077719012.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20495010 + ... + 20505598.

Almost surely, 2217077719056 is an apocalyptic number.

217077719056 is the 465916-th square number.

It is an amenable number.

217077719056 is an abundant number, since it is smaller than the sum of its proper divisors (245265238797).

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

217077719056 is an frugal number, since it uses more digits than its factorization.

217077719056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21208 (or 10602 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 52.

The spelling of 217077719056 in words is "two hundred seventeen billion, seventy-seven million, seven hundred nineteen thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 10589 21178 42356 84712 116479 169424 232958 465916 931832 1281269 1863664 2562538 5125076 10250152 20500304 112126921 224253842 448507684 897015368 1233396131 1794030736 2466792262 4933584524 9867169048 13567357441 19734338096 27134714882 54269429764 108538859528 217077719056