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20916331569 = 337110668421
BaseRepresentation
bin10011011110101101…
…011110010000110001
31222222200202201212000
4103132231132100301
5320314040102234
613335301324213
71340216612340
oct233655362061
958880681760
1020916331569
1189637a6541
124078a06669
131c8449ba73
141025c93b57
15826421899
hex4deb5e431

20916331569 has 16 divisors (see below), whose sum is σ = 35413895040. Its totient is φ = 11952189360.

The previous prime is 20916331559. The next prime is 20916331573. The reversal of 20916331569 is 96513361902.

20916331569 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 633 + 1 + 5 + 6 + 9 = 666.

It is not a de Polignac number, because 20916331569 - 29 = 20916331057 is a prime.

It is a super-2 number, since 2×209163315692 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20916331559) 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 15 ways as a sum of consecutive naturals, for example, 55334022 + ... + 55334399.

It is an arithmetic number, because the mean of its divisors is an integer number (2213368440).

Almost surely, 220916331569 is an apocalyptic number.

It is an amenable number.

20916331569 is a deficient number, since it is larger than the sum of its proper divisors (14497563471).

20916331569 is a wasteful number, since it uses less digits than its factorization.

20916331569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110668437 (or 110668431 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 20916331569 in words is "twenty billion, nine hundred sixteen million, three hundred thirty-one thousand, five hundred sixty-nine".

Divisors: 1 3 7 9 21 27 63 189 110668421 332005263 774678947 996015789 2324036841 2988047367 6972110523 20916331569