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19422080888401 = 41247222872
BaseRepresentation
bin1000110101010000011100…
…01110110110111001010001
32112202201210012200210200001
410122220032032312321101
510021202410201412101
6105150214125530001
74043125161435532
oct432501616667121
975681705623601
1019422080888401
116208949368844
122218167713901
13aab65718a089
144b20687b2689
1523a32d7c3901
hex11aa0e3b6e51

19422080888401 has 27 divisors (see below), whose sum is σ = 20348814100827. Its totient is φ = 18537105785760.

The previous prime is 19422080888389. The next prime is 19422080888407. The reversal of 19422080888401 is 10488808022491.

It is a happy number.

The square root of 19422080888401 is 4407049.

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., 935864694801 + 18486216193600 = 967401^2 + 4299560^2 .

It is not a de Polignac number, because 19422080888401 - 217 = 19422080757329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19422080888407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8492382280 + ... + 8492384566.

Almost surely, 219422080888401 is an apocalyptic number.

19422080888401 is the 4407049-th square number.

19422080888401 is the 2203525-th centered octagonal number.

It is an amenable number.

19422080888401 is a deficient number, since it is larger than the sum of its proper divisors (926733212426).

19422080888401 is an frugal number, since it uses more digits than its factorization.

19422080888401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4750 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 55.

The spelling of 19422080888401 in words is "nineteen trillion, four hundred twenty-two billion, eighty million, eight hundred eighty-eight thousand, four hundred one".

Divisors: 1 41 47 1681 1927 2209 2287 79007 90569 93767 107489 3713329 3844447 4407049 5051983 5230369 180689009 207131303 214445129 245827343 8492383423 8792250289 10078921063 11553885121 413235763583 473709289961 19422080888401