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20345032400405 = 53112738315791709
BaseRepresentation
bin1001010000000111100100…
…11011011101111000010101
32200000222002021210111110112
410220003302123131320111
510131313111243303110
6111134213455532405
74166610604026326
oct450036233357025
980028067714415
1020345032400405
11653430943a279
12234700622a105
13b476b39591cb
145049c206444d
1525434ac33405
hex1280f26dde15

20345032400405 has 64 divisors (see below), whose sum is σ = 25497383731200. Its totient is φ = 15567182588160.

The previous prime is 20345032400393. The next prime is 20345032400417. The reversal of 20345032400405 is 50400423054302.

It is an interprime number because it is at equal distance from previous prime (20345032400393) and next prime (20345032400417).

It is not a de Polignac number, because 20345032400405 - 24 = 20345032400389 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11904640691 + ... + 11904642399.

It is an arithmetic number, because the mean of its divisors is an integer number (398396620800).

Almost surely, 220345032400405 is an apocalyptic number.

It is an amenable number.

20345032400405 is a deficient number, since it is larger than the sum of its proper divisors (5152351330795).

20345032400405 is a wasteful number, since it uses less digits than its factorization.

20345032400405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834.

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 20345032400405 its reverse (50400423054302), we get a palindrome (70745455454707).

The spelling of 20345032400405 in words is "twenty trillion, three hundred forty-five billion, thirty-two million, four hundred thousand, four hundred five".

Divisors: 1 5 31 127 155 383 635 1579 1709 1915 3937 7895 8545 11873 19685 48641 48949 52979 59365 200533 217043 243205 244745 264895 604757 654547 1002665 1085215 1507871 2698511 3023785 3272735 6216523 6728333 7539355 13492555 18747467 20290957 31082615 33641665 76804139 83127469 83653841 93737335 101454785 342710897 384020695 415637345 418269205 1033529713 1713554485 2380928309 2576951539 5167648565 10624037807 11904641545 12884757695 32039421103 53120189035 131258273551 160197105515 656291367755 4069006480081 20345032400405