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20104440320 = 29515750021
BaseRepresentation
bin10010101110010100…
…010110101000000000
31220220010001101102202
4102232110112220000
5312133214042240
613122535532332
71311130631426
oct225624265000
956803041382
1020104440320
118587483638
123a90b2a0a8
131b85214543
14d8a111116
157c9eeb315
hex4ae516a00

20104440320 has 80 divisors (see below), whose sum is σ = 48511535688. Its totient is φ = 7990394880.

The previous prime is 20104440281. The next prime is 20104440401. The reversal of 20104440320 is 2304440102.

It can be written as a sum of positive squares in 4 ways, for example, as 15940577536 + 4163862784 = 126256^2 + 64528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20104440292 and 20104440301.

It is an unprimeable number.

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, 376910 + ... + 426930.

Almost surely, 220104440320 is an apocalyptic number.

20104440320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24255767844).

20104440320 is an abundant number, since it is smaller than the sum of its proper divisors (28407095368).

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

20104440320 is an equidigital number, since it uses as much as digits as its factorization.

20104440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50201 (or 50185 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20104440320 its reverse (2304440102), we get a palindrome (22408880422).

The spelling of 20104440320 in words is "twenty billion, one hundred four million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 512 628 640 785 1256 1280 1570 2512 2560 3140 5024 6280 10048 12560 20096 25120 40192 50021 50240 80384 100042 100480 200084 200960 250105 400168 401920 500210 800336 1000420 1600672 2000840 3201344 4001680 6402688 7853297 8003360 12805376 15706594 16006720 25610752 31413188 32013440 39266485 62826376 64026880 78532970 125652752 128053760 157065940 251305504 314131880 502611008 628263760 1005222016 1256527520 2010444032 2513055040 4020888064 5026110080 10052220160 20104440320