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20134344320 = 27597324329
BaseRepresentation
bin10010110000000110…
…011011011010000000
31220222012022200000022
4102300012123122000
5312213343004240
613125524513012
71311643050206
oct226006333200
956865280008
1020134344320
1185a2348992
123a9ab4b768
131b8b48490c
14d90097076
157cc9569b5
hex4b019b680

20134344320 has 64 divisors (see below), whose sum is σ = 48630040200. Its totient is φ = 7970684928.

The previous prime is 20134344311. The next prime is 20134344323. The reversal of 20134344320 is 2344343102.

It can be written as a sum of positive squares in 4 ways, for example, as 17472609856 + 2661734464 = 132184^2 + 51592^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20134344320.

It is not an unprimeable number, because it can be changed into a prime (20134344323) 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 7 ways as a sum of consecutive naturals, for example, 100085 + ... + 224244.

Almost surely, 220134344320 is an apocalyptic number.

20134344320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20134344320 is an abundant number, since it is smaller than the sum of its proper divisors (28495695880).

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

20134344320 is an equidigital number, since it uses as much as digits as its factorization.

20134344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324445 (or 324433 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 20134344320 its reverse (2344343102), we get a palindrome (22478687422).

The spelling of 20134344320 in words is "twenty billion, one hundred thirty-four million, three hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 31040 62080 324329 648658 1297316 1621645 2594632 3243290 5189264 6486580 10378528 12973160 20757056 25946320 31459913 41514112 51892640 62919826 103785280 125839652 157299565 207570560 251679304 314599130 503358608 629198260 1006717216 1258396520 2013434432 2516793040 4026868864 5033586080 10067172160 20134344320