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20479576383001 = 2989971732272083
BaseRepresentation
bin1001010100000010001011…
…11000000001111000011001
32200111211100220000222101001
410222001011320001320121
510141014133023224001
6111320104300225001
74212412665020341
oct452010570017031
980454326028331
1020479576383001
116586380a6a81a
1223690b483b161
13b572a6066a28
1450b306c07d21
15257ac2972001
hex12a045e01e19

20479576383001 has 64 divisors (see below), whose sum is σ = 21876188140800. Its totient is φ = 19143861682176.

The previous prime is 20479576382977. The next prime is 20479576383011. The reversal of 20479576383001 is 10038367597402.

It is a cyclic number.

It is not a de Polignac number, because 20479576383001 - 211 = 20479576380953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20479576383011) 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 63 ways as a sum of consecutive naturals, for example, 9831768706 + ... + 9831770788.

It is an arithmetic number, because the mean of its divisors is an integer number (341815439700).

It is a 1-persistent number, because it is pandigital, but 2⋅20479576383001 = 40959152766002 is not.

Almost surely, 220479576383001 is an apocalyptic number.

It is an amenable number.

20479576383001 is a deficient number, since it is larger than the sum of its proper divisors (1396611757799).

20479576383001 is a wasteful number, since it uses less digits than its factorization.

20479576383001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698.

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 20479576383001 in words is "twenty trillion, four hundred seventy-nine billion, five hundred seventy-six million, three hundred eighty-three thousand, one".

Divisors: 1 29 89 97 173 227 2083 2581 2813 5017 6583 8633 15397 16781 20203 22019 39271 60407 185387 202051 250357 360359 446513 472841 486649 585887 638551 1138859 1493509 1959691 3495119 3809287 5376223 5859479 10450411 13712389 17982539 32071951 34954823 42082849 43311761 45865577 56831039 81801493 101358451 110469323 339026543 521493631 930086579 1013689867 1220402621 1330101733 2372243297 3110979247 4082036353 7280332877 7934744821 9831769747 90218398163 118379054237 211129653433 230107599809 706192289069 20479576383001