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20413323306504 = 2333175559183907
BaseRepresentation
bin1001010010000110110001…
…11000100110011000001000
32200021111100121011222021000
410221003120320212120020
510133422441231302004
6111225430135015000
74204546116120042
oct451033070463010
980244317158230
1020413323306504
116560272917847
1223582a480a460
13b50c77c91c9b
1450801daa8a92
15255ee6295c39
hex1290d8e26608

20413323306504 has 64 divisors (see below), whose sum is σ = 60039186206400. Its totient is φ = 6404179859712.

The previous prime is 20413323306503. The next prime is 20413323306581. The reversal of 20413323306504 is 40560332331402.

20413323306504 is a `hidden beast` number, since 2 + 0 + 413 + 3 + 233 + 0 + 6 + 5 + 0 + 4 = 666.

20413323306504 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20413323306503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779588282 + ... + 2779595625.

It is an arithmetic number, because the mean of its divisors is an integer number (938112284475).

Almost surely, 220413323306504 is an apocalyptic number.

20413323306504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20413323306504 is an abundant number, since it is smaller than the sum of its proper divisors (39625862899896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20413323306504 is a wasteful number, since it uses less digits than its factorization.

20413323306504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559183939 (or 5559183929 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 20413323306504 its reverse (40560332331402), we get a palindrome (60973655637906).

The spelling of 20413323306504 in words is "twenty trillion, four hundred thirteen billion, three hundred twenty-three million, three hundred six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 5559183907 11118367814 16677551721 22236735628 33355103442 44473471256 50032655163 66710206884 94506126419 100065310326 133420413768 150097965489 189012252838 200130620652 283518379257 300195930978 378024505676 400261241304 567036758514 600391861956 756049011352 850555137771 1134073517028 1200783723912 1701110275542 2268147034056 2551665413313 3402220551084 5103330826626 6804441102168 10206661653252 20413323306504