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20007338384 = 2411210334369
BaseRepresentation
bin10010101000100001…
…111100000110010000
31220122100100002121202
4102220201330012100
5311433334312014
613105150410332
71305541366415
oct225041740620
956570302552
1020007338384
118537691500
123a645009a8
131b6b076b87
14d7b27610c
157c171a3de
hex4a887c190

20007338384 has 30 divisors (see below), whose sum is σ = 42608607510. Its totient is φ = 9094243840.

The previous prime is 20007338339. The next prime is 20007338387. The reversal of 20007338384 is 48383370002.

It can be written as a sum of positive squares in only one way, i.e., 17715610000 + 2291728384 = 133100^2 + 47872^2 .

It is not an unprimeable number, because it can be changed into a prime (20007338387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5165249 + ... + 5169120.

It is an arithmetic number, because the mean of its divisors is an integer number (1420286917).

Almost surely, 220007338384 is an apocalyptic number.

It is an amenable number.

20007338384 is an abundant number, since it is smaller than the sum of its proper divisors (22601269126).

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

20007338384 is a wasteful number, since it uses less digits than its factorization.

20007338384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334399 (or 10334382 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 20007338384 in words is "twenty billion, seven million, three hundred thirty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 10334369 20668738 41337476 82674952 113678059 165349904 227356118 454712236 909424472 1250458649 1818848944 2500917298 5001834596 10003669192 20007338384