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19923604801 = 172194232
BaseRepresentation
bin10010100011100010…
…100001010101000001
31220102111202222201221
4102203202201111001
5311300420323201
613052555555041
71303503563242
oct224342412501
956374688657
1019923604801
1184a43a01a1
123a4045ba81
131b5690a289
14d700bacc9
157b91ca4a1
hex4a38a1541

19923604801 has 45 divisors (see below), whose sum is σ = 23353868531. Its totient is φ = 16992321984.

The previous prime is 19923604787. The next prime is 19923604823. The reversal of 19923604801 is 10840632991.

It is a happy number.

The square root of 19923604801 is 141151.

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., 15511457025 + 4412147776 = 124545^2 + 66424^2 .

It is not a de Polignac number, because 19923604801 - 25 = 19923604769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19923604301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 866243676 + ... + 866243698.

Almost surely, 219923604801 is an apocalyptic number.

19923604801 is the 141151-st square number.

19923604801 is the 70576-th centered octagonal number.

It is an amenable number.

19923604801 is a deficient number, since it is larger than the sum of its proper divisors (3430263730).

19923604801 is an frugal number, since it uses more digits than its factorization.

19923604801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 19923604801 in words is "nineteen billion, nine hundred twenty-three million, six hundred four thousand, eight hundred one".

Divisors: 1 17 19 23 289 323 361 391 437 529 5491 6137 6647 6859 7429 8303 8993 10051 104329 116603 126293 130321 141151 152881 157757 170867 190969 1982251 2215457 2399567 2681869 2904739 2997383 3246473 3628411 37662769 45591773 50955511 55190041 61682987 68939809 866243687 1048610779 1171976753 19923604801