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20345004406105 = 517972467556629
BaseRepresentation
bin1001010000000111100001…
…10000101011010101011001
32200000222000100010020111121
410220003300300223111121
510131313032111443410
6111134211015525241
74166610114053311
oct450036060532531
980028010106447
1020345004406105
1165342a4659795
122346bb8989821
13b476aac07132
145049bc458441
152543485539da
hex1280f0c2b559

20345004406105 has 16 divisors (see below), whose sum is σ = 26116619371920. Its totient is φ = 15160667922432.

The previous prime is 20345004406087. The next prime is 20345004406109. The reversal of 20345004406105 is 50160440054302.

It can be written as a sum of positive squares in 8 ways, for example, as 1765042445401 + 18579961960704 = 1328549^2 + 4310448^2 .

It is a cyclic number.

It is not a de Polignac number, because 20345004406105 - 217 = 20345004275033 is a prime.

It is a super-2 number, since 2×203450044061052 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20345004406109) by changing a digit.

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, 1233770070 + ... + 1233786559.

It is an arithmetic number, because the mean of its divisors is an integer number (1632288710745).

Almost surely, 220345004406105 is an apocalyptic number.

It is an amenable number.

20345004406105 is a deficient number, since it is larger than the sum of its proper divisors (5771614965815).

20345004406105 is a wasteful number, since it uses less digits than its factorization.

20345004406105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467556748.

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 20345004406105 in words is "twenty trillion, three hundred forty-five billion, four million, four hundred six thousand, one hundred five".

Divisors: 1 5 17 85 97 485 1649 8245 2467556629 12337783145 41948462693 209742313465 239352993013 1196764965065 4069000881221 20345004406105