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20300244444 = 22324314878819
BaseRepresentation
bin10010111001111111…
…010010010111011100
31221101202111021012100
4102321333102113130
5313033330310234
613154212405100
71316026142064
oct227177222734
957352437170
1020300244444
118677a60127
123b26616790
131bb695ca7c
14da81203a4
157dc2c7399
hex4b9fd25dc

20300244444 has 72 divisors (see below), whose sum is σ = 52549136640. Its totient is φ = 6604188192.

The previous prime is 20300244427. The next prime is 20300244469. The reversal of 20300244444 is 44444200302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2297467 + ... + 2306285.

It is an arithmetic number, because the mean of its divisors is an integer number (729849120).

Almost surely, 220300244444 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 20300244444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274568320).

20300244444 is an abundant number, since it is smaller than the sum of its proper divisors (32248892196).

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

20300244444 is a wasteful number, since it uses less digits than its factorization.

20300244444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10359 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 20300244444 its reverse (44444200302), we get a palindrome (64744444746).

The spelling of 20300244444 in words is "twenty billion, three hundred million, two hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1487 1548 2974 4461 5948 8819 8922 13383 17638 17844 26457 26766 35276 52914 53532 63941 79371 105828 127882 158742 191823 255764 317484 379217 383646 575469 758434 767292 1137651 1150938 1516868 2275302 2301876 3412953 4550604 6825906 13113853 13651812 26227706 39341559 52455412 78683118 118024677 157366236 236049354 472098708 563895679 1127791358 1691687037 2255582716 3383374074 5075061111 6766748148 10150122222 20300244444