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20411422304 = 2571313153507
BaseRepresentation
bin10011000000100111…
…011001011001100000
31221200111200200112212
4103000213121121200
5313300311003204
613213223341252
71321546140560
oct230047313140
957614620485
1020411422304
118724796759
123b578b1828
131c039b82a0
14db8bc0da0
157e6e38c6e
hex4c09d9660

20411422304 has 96 divisors (see below), whose sum is σ = 49836923136. Its totient is φ = 8013058560.

The previous prime is 20411422303. The next prime is 20411422319. The reversal of 20411422304 is 40322411402.

It is a self number, because there is not a number n which added to its sum of digits gives 20411422304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411422303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354719 + ... + 408225.

It is an arithmetic number, because the mean of its divisors is an integer number (519134616).

Almost surely, 220411422304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20411422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918461568).

20411422304 is an abundant number, since it is smaller than the sum of its proper divisors (29425500832).

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

20411422304 is a wasteful number, since it uses less digits than its factorization.

20411422304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53668 (or 53660 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20411422304 its reverse (40322411402), we get a palindrome (60733833706).

The spelling of 20411422304 in words is "twenty billion, four hundred eleven million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 131 182 208 224 262 364 416 524 728 917 1048 1456 1703 1834 2096 2912 3406 3668 4192 6812 7336 11921 13624 14672 23842 27248 29344 47684 53507 54496 95368 107014 190736 214028 374549 381472 428056 695591 749098 856112 1391182 1498196 1712224 2782364 2996392 4869137 5564728 5992784 7009417 9738274 11129456 11985568 14018834 19476548 22258912 28037668 38953096 49065919 56075336 77906192 91122421 98131838 112150672 155812384 182244842 196263676 224301344 364489684 392527352 637856947 728979368 785054704 1275713894 1457958736 1570109408 2551427788 2915917472 5102855576 10205711152 20411422304