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20041521040 = 2452371915149
BaseRepresentation
bin10010101010100100…
…010101011110010000
31220201201122202102001
4102222210111132100
5312021112133130
613112411203344
71306435055332
oct225244253620
956651582361
1020041521040
118554a09432
123a73a46554
131b751848b8
14d81a13452
157c471d6ca
hex4aa915790

20041521040 has 80 divisors (see below), whose sum is σ = 48693312000. Its totient is φ = 7656889856.

The previous prime is 20041521037. The next prime is 20041521061. The reversal of 20041521040 is 4012514002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20041520999 and 20041521017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315386 + ... + 1330534.

It is an arithmetic number, because the mean of its divisors is an integer number (608666400).

Almost surely, 220041521040 is an apocalyptic number.

20041521040 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 20041521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24346656000).

20041521040 is an abundant number, since it is smaller than the sum of its proper divisors (28651790960).

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

20041521040 is a wasteful number, since it uses less digits than its factorization.

20041521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15904 (or 15898 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 20041521040 in words is "twenty billion, forty-one million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 719 920 1438 1840 2876 3595 5752 7190 11504 14380 15149 16537 28760 30298 33074 57520 60596 66148 75745 82685 121192 132296 151490 165370 242384 264592 302980 330740 348427 605960 661480 696854 1211920 1322960 1393708 1742135 2787416 3484270 5574832 6968540 10892131 13937080 21784262 27874160 43568524 54460655 87137048 108921310 174274096 217842620 250519013 435685240 501038026 871370480 1002076052 1252595065 2004152104 2505190130 4008304208 5010380260 10020760520 20041521040