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216017917212304 = 242921267032
BaseRepresentation
bin110001000111011110010111…
…001110000111011010010000
31001022212010000001210112221201
4301013132113032013122100
5211303214143301243204
62043233132225400544
763333531236202004
oct6107362716073220
91038763001715851
10216017917212304
1162914758766599
1220289877499154
13936c52c7ac55c
143b4b47437c704
1519e91c5e1d9a4
hexc47797387690

216017917212304 has 45 divisors (see below), whose sum is σ = 433468030427913. Its totient is φ = 104283688694976.

The previous prime is 216017917212281. The next prime is 216017917212337. The reversal of 216017917212304 is 403212719710612.

The square root of 216017917212304 is 14697548.

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

216017917212304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 113274555874704 + 102743361337600 = 10643052^2 + 10136240^2 .

It is a Duffinian number.

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, 1704852217 + ... + 1704978919.

Almost surely, 2216017917212304 is an apocalyptic number.

216017917212304 is the 14697548-th square number.

It is an amenable number.

216017917212304 is an abundant number, since it is smaller than the sum of its proper divisors (217450113215609).

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

216017917212304 is an frugal number, since it uses more digits than its factorization.

216017917212304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253472 (or 126734 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 216017917212304 in words is "two hundred sixteen trillion, seventeen billion, nine hundred seventeen million, two hundred twelve thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 13456 126703 253406 506812 1013624 2027248 3674387 7348774 14697548 29395096 58790192 106557223 213114446 426228892 852457784 1704915568 16053650209 32107300418 64214600836 128429201672 256858403344 465555856061 931111712122 1862223424244 3724446848488 7448893696976 13501119825769 27002239651538 54004479303076 108008958606152 216017917212304