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19009896481156 = 2272292107392
BaseRepresentation
bin1000101001010000101100…
…01000001000000110000100
32111022022212101000102010211
410110220112020020012010
54442424231444344111
6104233005331325204
74001263645665400
oct424502610100604
974268771012124
1019009896481156
11606a062a81999
1221702b3a50804
13a7b81942c309
1449a12630c100
1522e757380521
hex114a16208184

19009896481156 has 81 divisors (see below), whose sum is σ = 40082903966469. Its totient is φ = 7865431575456.

The previous prime is 19009896481139. The next prime is 19009896481159. The reversal of 19009896481156 is 65118469890091.

It is a happy number.

The square root of 19009896481156 is 4360034.

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., 9968328594756 + 9041567886400 = 3157266^2 + 3006920^2 .

It is a super-2 number, since 2×190098964811562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19009896481091 and 19009896481100.

It is not an unprimeable number, because it can be changed into a prime (19009896481159) 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 26 ways as a sum of consecutive naturals, for example, 1770168435 + ... + 1770179173.

Almost surely, 219009896481156 is an apocalyptic number.

19009896481156 is the 4360034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19009896481156

19009896481156 is an abundant number, since it is smaller than the sum of its proper divisors (21073007485313).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19009896481156 is an frugal number, since it uses more digits than its factorization.

19009896481156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21554 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 67.

The spelling of 19009896481156 in words is "nineteen trillion, nine billion, eight hundred ninety-six million, four hundred eighty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2842 3364 5684 5887 10739 11774 21478 23548 41209 42956 75173 82418 150346 164836 300692 311431 526211 622862 1052422 1245724 2104844 2180017 4360034 8720068 9031499 15260119 18062998 30520238 36125996 61040476 63220493 115326121 126440986 230652242 252881972 442543451 461304484 807282847 885086902 1614565694 1770173804 3229131388 3344457509 5650979929 6688915018 11301959858 13377830036 22603919716 23411202563 46822405126 93644810252 96989267761 163878417941 193978535522 327756835882 387957071044 655513671764 678924874327 1357849748654 2715699497308 4752474120289 9504948240578 19009896481156