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19054138185905 = 541133261697481
BaseRepresentation
bin1000101010100011000110…
…01000110101100010110001
32111110120001122120212200012
410111101203020311202301
54444140333333422110
6104305203352504305
74004421210165344
oct425214310654261
974416048525605
1019054138185905
1160868a62a1549
1221789a03ab095
13a82a4a200034
1449c321d8a45b
15230996433905
hex1154632358b1

19054138185905 has 16 divisors (see below), whose sum is σ = 23422857263568. Its totient is φ = 14871389568000.

The previous prime is 19054138185877. The next prime is 19054138185911. The reversal of 19054138185905 is 50958183145091.

It can be written as a sum of positive squares in 8 ways, for example, as 2846049976576 + 16208088209329 = 1687024^2 + 4025927^2 .

It is a de Polignac number, because none of the positive numbers 2k-19054138185905 is a prime.

It is a super-3 number, since 3×190541381859053 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26969765 + ... + 27667245.

It is an arithmetic number, because the mean of its divisors is an integer number (1463928578973).

Almost surely, 219054138185905 is an apocalyptic number.

It is an amenable number.

19054138185905 is a deficient number, since it is larger than the sum of its proper divisors (4368719077663).

19054138185905 is a wasteful number, since it uses less digits than its factorization.

19054138185905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830788.

The product of its (nonzero) digits is 7776000, while the sum is 59.

The spelling of 19054138185905 in words is "nineteen trillion, fifty-four billion, one hundred thirty-eight million, one hundred eighty-five thousand, nine hundred five".

Divisors: 1 5 41 205 133261 666305 697481 3487405 5463701 27318505 28596721 142983605 92947015541 464735077705 3810827637181 19054138185905