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19738347441796 = 221572141492
BaseRepresentation
bin1000111110011101100010…
…01100000000111010000100
32120212222010101000100201201
410133032301030000322010
510041343113421114141
6105551401023432244
74105022435666134
oct437166114007204
976788111010651
1019738347441796
11631aa9360a3a5
122269510755684
13b0241a05bcb9
144c34ac030ac4
1524368e07c031
hex11f3b1300e84

19738347441796 has 27 divisors (see below), whose sum is σ = 34765979942799. Its totient is φ = 9805619667168.

The previous prime is 19738347441719. The next prime is 19738347441821. The reversal of 19738347441796 is 69714474383791.

The square root of 19738347441796 is 4442786.

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 1943988832900 + 17794358608896 = 1394270^2 + 4218336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1395027730 + ... + 1395041878.

Almost surely, 219738347441796 is an apocalyptic number.

19738347441796 is the 4442786-th square number.

It is an amenable number.

19738347441796 is a deficient number, since it is larger than the sum of its proper divisors (15027632501003).

19738347441796 is an frugal number, since it uses more digits than its factorization.

19738347441796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28616 (or 14308 counting only the distinct ones).

The product of its digits is 768144384, while the sum is 73.

It can be divided in two parts, 1973834 and 7441796, that added together give a triangular number (9415630 = T4339).

The spelling of 19738347441796 in words is "nineteen trillion, seven hundred thirty-eight billion, three hundred forty-seven million, four hundred forty-one thousand, seven hundred ninety-six".

Divisors: 1 2 4 157 314 628 14149 24649 28298 49298 56596 98596 2221393 4442786 8885572 200194201 348758701 400388402 697517402 800776804 1395034804 31430489557 62860979114 125721958228 4934586860449 9869173720898 19738347441796