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17216064100 = 2252131212
BaseRepresentation
bin10000000010001010…
…000100101001100100
31122102211001200010201
4100002022010221210
5240224303022400
611524200000244
71146426062464
oct200212045144
948384050121
1017216064100
117335023854
123405760084
1318149b34a1
14b94683ba4
156ab65606a
hex402284a64

17216064100 has 27 divisors (see below), whose sum is σ = 37361706571. Its totient is φ = 6885900800.

The previous prime is 17216064083. The next prime is 17216064113. The reversal of 17216064100 is 146061271.

The square root of 17216064100 is 131210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4584102436 + 12631961664 = 67706^2 + 112392^2 .

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, 1305540 + ... + 1318660.

Almost surely, 217216064100 is an apocalyptic number.

17216064100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17216064100 is the 131210-th square number.

It is an amenable number.

17216064100 is an abundant number, since it is smaller than the sum of its proper divisors (20145642471).

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

17216064100 is an frugal number, since it uses more digits than its factorization.

17216064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26256 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 17216064100 in words is "seventeen billion, two hundred sixteen million, sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13121 26242 52484 65605 131210 262420 328025 656050 1312100 172160641 344321282 688642564 860803205 1721606410 3443212820 4304016025 8608032050 17216064100