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20413345415625 = 3255725807837
BaseRepresentation
bin1001010010000110110100…
…01100111100000111001001
32200021111102010210020021100
410221003122030330013021
510133423012411300000
6111225432244532013
74204546505052111
oct451033214740711
980244363706240
1020413345415625
116560284348748
1223582b00b1009
13b50c7c7333c6
145080229c2041
15255ee81b1a00
hex1290da33c1c9

20413345415625 has 36 divisors (see below), whose sum is σ = 36855070397964. Its totient is φ = 10887117540000.

The previous prime is 20413345415621. The next prime is 20413345415647. The reversal of 20413345415625 is 52651454331402.

20413345415625 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 3 + 4 + 5 + 4 + 15 + 625 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15409856440521 + 5003488975104 = 3925539^2 + 2236848^2 .

It is not a de Polignac number, because 20413345415625 - 22 = 20413345415621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20413345415621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 362875794 + ... + 362932043.

It is an arithmetic number, because the mean of its divisors is an integer number (1023751955499).

Almost surely, 220413345415625 is an apocalyptic number.

20413345415625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20413345415625 is a deficient number, since it is larger than the sum of its proper divisors (16441724982339).

20413345415625 is an frugal number, since it uses more digits than its factorization.

20413345415625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725807868 (or 725807845 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 20413345415625 in words is "twenty trillion, four hundred thirteen billion, three hundred forty-five million, four hundred fifteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3125 5625 9375 28125 725807837 2177423511 3629039185 6532270533 10887117555 18145195925 32661352665 54435587775 90725979625 163306763325 272177938875 453629898125 816533816625 1360889694375 2268149490625 4082669083125 6804448471875 20413345415625