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19226111488081 = 17237269712
BaseRepresentation
bin1000101111100011011011…
…00010111011000001010001
32112001222221202200210111021
410113301231202323001101
510010000034020104311
6104520204221315441
74023016652142151
oct427615542730121
975058852623437
1019226111488081
116142825790863
1221a6195a05b81
13a96025c14534
144a6797b2c761
152351ae11b171
hex117c6d8bb051

19226111488081 has 27 divisors (see below), whose sum is σ = 20993504523537. Its totient is φ = 17603579652480.

The previous prime is 19226111487977. The next prime is 19226111488091. The reversal of 19226111488081 is 18088411162291.

It is a happy number.

The square root of 19226111488081 is 4384759.

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 8943443132481 + 10282668355600 = 2990559^2 + 3206660^2 .

It is not a de Polignac number, because 19226111488081 - 217 = 19226111357009 is a prime.

It is a super-2 number, since 2×192261114880812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19226111488091) 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, 2758009926 + ... + 2758016896.

Almost surely, 219226111488081 is an apocalyptic number.

19226111488081 is the 4384759-th square number.

19226111488081 is the 2192380-th centered octagonal number.

It is an amenable number.

19226111488081 is a deficient number, since it is larger than the sum of its proper divisors (1767393035456).

19226111488081 is an frugal number, since it uses more digits than its factorization.

19226111488081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14050 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 52.

The spelling of 19226111488081 in words is "nineteen trillion, two hundred twenty-six billion, one hundred eleven million, four hundred eighty-eight thousand, eighty-one".

Divisors: 1 17 37 289 629 1369 6971 10693 23273 118507 257927 395641 2014619 4384759 9543299 48594841 74540903 162236083 826112297 1798009117 2758013411 14043909049 30566154989 66526337329 519624634813 1130947734593 19226111488081