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17380730896 = 2423214332
BaseRepresentation
bin10000001011111110…
…001110100000010000
31122212021220121111221
4100023332032200100
5241043431342041
611552401214424
71153465526554
oct201376164020
948767817457
1017380730896
117409a73411
123450931414
13183cb49169
14bac4a9864
156bad312d1
hex40bf8e810

17380730896 has 45 divisors (see below), whose sum is σ = 35227544989. Its totient is φ = 8306722688.

The previous prime is 17380730867. The next prime is 17380730903. The reversal of 17380730896 is 69803708371.

It is a happy number.

The square root of 17380730896 is 131836.

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., 14414403600 + 2966327296 = 120060^2 + 54464^2 .

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, 12128196 + ... + 12129628.

Almost surely, 217380730896 is an apocalyptic number.

17380730896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17380730896 is the 131836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17380730896

17380730896 is an abundant number, since it is smaller than the sum of its proper divisors (17846814093).

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

17380730896 is an frugal number, since it uses more digits than its factorization.

17380730896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 17380730896 in words is "seventeen billion, three hundred eighty million, seven hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 1433 2116 2866 4232 5732 8464 11464 22928 32959 65918 131836 263672 527344 758057 1516114 2053489 3032228 4106978 6064456 8213956 12128912 16427912 32855824 47230247 94460494 188920988 377841976 755683952 1086295681 2172591362 4345182724 8690365448 17380730896