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199604326441 = 132343672
BaseRepresentation
bin1011100111100101011…
…0000101000000101001
3201002012202202101102011
42321321112011000221
511232242201421231
6231410313235521
720264244531532
oct2717126050051
9632182671364
10199604326441
1177719490863
1232827102ba1
1315a90363c00
149937725689
1552d38679b1
hex2e79585029

199604326441 has 9 divisors (see below), whose sum is σ = 216145885431. Its totient is φ = 184244786232.

The previous prime is 199604326429. The next prime is 199604326469. The reversal of 199604326441 is 144623406991.

The square root of 199604326441 is 446771.

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., 29527267225 + 170077059216 = 171835^2 + 412404^2 .

It is not a de Polignac number, because 199604326441 - 221 = 199602229289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199604326421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5790840 + ... + 5825206.

Almost surely, 2199604326441 is an apocalyptic number.

199604326441 is the 446771-st square number.

199604326441 is the 223386-th centered octagonal number.

It is an amenable number.

199604326441 is a deficient number, since it is larger than the sum of its proper divisors (16541558990).

199604326441 is an frugal number, since it uses more digits than its factorization.

199604326441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68760 (or 34380 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 199604326441 by its sum of digits (49), we get a square (9780611995609 = 31273972).

The spelling of 199604326441 in words is "one hundred ninety-nine billion, six hundred four million, three hundred twenty-six thousand, four hundred forty-one".

Divisors: 1 13 169 34367 446771 5808023 1181090689 15354178957 199604326441