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20138171072405 = 541363727009893
BaseRepresentation
bin1001001010000110010001…
…00010000111111110010101
32122022012010202201020101212
410211003020202013332111
510114420433243304110
6110455203103431205
74145635436532521
oct445031042077625
978265122636355
1020138171072405
116464606629871
122312ab48b5505
13b31037c97b49
144d899aa02d81
1524dc90237e05
hex1250c8887f95

20138171072405 has 16 divisors (see below), whose sum is σ = 24762022581744. Its totient is φ = 15713274769920.

The previous prime is 20138171072347. The next prime is 20138171072419. The reversal of 20138171072405 is 50427017183102.

It can be written as a sum of positive squares in 8 ways, for example, as 10875102298564 + 9263068773841 = 3297742^2 + 3043529^2 .

It is a de Polignac number, because none of the positive numbers 2k-20138171072405 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12759362 + ... + 14250531.

It is an arithmetic number, because the mean of its divisors is an integer number (1547626411359).

Almost surely, 220138171072405 is an apocalyptic number.

It is an amenable number.

20138171072405 is a deficient number, since it is larger than the sum of its proper divisors (4623851509339).

20138171072405 is a wasteful number, since it uses less digits than its factorization.

20138171072405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27013576.

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 20138171072405 in words is "twenty trillion, one hundred thirty-eight billion, one hundred seventy-one million, seventy-two thousand, four hundred five".

Divisors: 1 5 41 205 3637 18185 149117 745585 27009893 135049465 1107405613 5537028065 98234980841 491174904205 4027634214481 20138171072405