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217243014375556 = 22134436072
BaseRepresentation
bin110001011001010011010100…
…101100111010100010000100
31001111012020012012020122200001
4301121103110230322202010
5211433302143140004211
62050012021341331044
763521201262235141
oct6131232454724204
91044166165218601
10217243014375556
1163247277112914
1220447199b66a84
13942ac0b790000
143b90891b033c8
151a1aec90c0ac1
hexc594d4b3a884

217243014375556 has 45 divisors (see below), whose sum is σ = 411864883763459. Its totient is φ = 100263707324976.

The previous prime is 217243014375551. The next prime is 217243014375571. The reversal of 217243014375556 is 655573410342712.

The square root of 217243014375556 is 14739166.

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

It can be written as a sum of positive squares in 2 ways, for example, as 107712556513156 + 109530457862400 = 10378466^2 + 10465680^2 .

It is a super-2 number, since 2×2172430143755562 (a number of 29 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 = 217243014375497 and 217243014375506.

It is not an unprimeable number, because it can be changed into a prime (217243014375551) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4981816305 + ... + 4981859911.

Almost surely, 2217243014375556 is an apocalyptic number.

217243014375556 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

217243014375556 is the 14739166-th square number.

It is an amenable number.

217243014375556 is a deficient number, since it is larger than the sum of its proper divisors (194621869387903).

217243014375556 is an frugal number, since it uses more digits than its factorization.

217243014375556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87270 (or 43622 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 55.

The spelling of 217243014375556 in words is "two hundred seventeen trillion, two hundred forty-three billion, fourteen million, three hundred seventy-five thousand, five hundred fifty-six".

Divisors: 1 2 4 13 26 52 169 338 676 2197 4394 8788 28561 43607 57122 87214 114244 174428 566891 1133782 2267564 7369583 14739166 29478332 95804579 191609158 383218316 1245459527 1901570449 2490919054 3803140898 4981838108 7606281796 24720415837 49440831674 98881663348 321365405881 642730811762 1285461623524 4177750276453 8355500552906 16711001105812 54310753593889 108621507187778 217243014375556