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20444260455 = 3254749119687
BaseRepresentation
bin10011000010100100…
…101010100001100111
31221202210111001000200
4103002210222201213
5313332212313310
613220355241543
71322425226613
oct230244524147
957683431020
1020444260455
118741285523
123b668a92b3
131c0a745048
14dbd2cc343
157e9c739c0
hex4c292a867

20444260455 has 48 divisors (see below), whose sum is σ = 36266241024. Its totient is φ = 10649338560.

The previous prime is 20444260429. The next prime is 20444260481. The reversal of 20444260455 is 55406244402.

20444260455 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 42 + 604 + 5 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (20444260429) and next prime (20444260481).

It is not a de Polignac number, because 20444260455 - 27 = 20444260327 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028622 + ... + 1048308.

It is an arithmetic number, because the mean of its divisors is an integer number (755546688).

Almost surely, 220444260455 is an apocalyptic number.

20444260455 is a deficient number, since it is larger than the sum of its proper divisors (15821980569).

20444260455 is a wasteful number, since it uses less digits than its factorization.

20444260455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20236 (or 20233 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 20444260455 in words is "twenty billion, four hundred forty-four million, two hundred sixty thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 45 47 141 235 423 491 705 1473 2115 2455 4419 7365 19687 22095 23077 59061 69231 98435 115385 177183 207693 295305 346155 885915 925289 1038465 2775867 4626445 8327601 9666317 13879335 28998951 41638005 48331585 86996853 144994755 434984265 454316899 1362950697 2271584495 4088852091 6814753485 20444260455