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20290841568 = 2532292429459
BaseRepresentation
bin10010111001011011…
…011010101111100000
31221101002210112212200
4102321123122233200
5313023423412233
613153235053200
71315553210334
oct227133325740
957332715780
1020290841568
118672718658
123b23441200
131bb4a19c3a
14da6b937c4
157db56b313
hex4b96dabe0

20290841568 has 72 divisors (see below), whose sum is σ = 59691832200. Its totient is φ = 6530383104.

The previous prime is 20290841563. The next prime is 20290841579. The reversal of 20290841568 is 86514809202.

20290841568 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 0 + 84 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20290841561) 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 11 ways as a sum of consecutive naturals, for example, 1206378 + ... + 1223081.

It is an arithmetic number, because the mean of its divisors is an integer number (829053225).

Almost surely, 220290841568 is an apocalyptic number.

It is an amenable number.

20290841568 is an abundant number, since it is smaller than the sum of its proper divisors (39400990632).

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

20290841568 is a wasteful number, since it uses less digits than its factorization.

20290841568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429504 (or 2429493 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20290841568 in words is "twenty billion, two hundred ninety million, eight hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 2429459 4858918 7288377 9717836 14576754 19435672 21865131 29153508 38871344 43730262 58307016 70454311 77742688 87460524 116614032 140908622 174921048 211362933 233228064 281817244 349842096 422725866 563634488 634088799 699684192 845451732 1127268976 1268177598 1690903464 2254537952 2536355196 3381806928 5072710392 6763613856 10145420784 20290841568