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20444420022 = 23135310746219
BaseRepresentation
bin10011000010100101…
…010001011110110110
31221202210210010220120
4103002211101132312
5313332232420042
613220402512410
71322426463045
oct230245213666
957683703816
1020444420022
1187413843a4
123b66965706
131c0a79c870
14dbd33055c
157e9ca5dec
hex4c29517b6

20444420022 has 64 divisors (see below), whose sum is σ = 45285246720. Its totient is φ = 6114086784.

The previous prime is 20444419993. The next prime is 20444420027. The reversal of 20444420022 is 22002444402.

It is a junction number, because it is equal to n+sod(n) for n = 20444419974 and 20444420001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444420027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419229 + ... + 465447.

It is an arithmetic number, because the mean of its divisors is an integer number (707581980).

Almost surely, 220444420022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20444420022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22642623360).

20444420022 is an abundant number, since it is smaller than the sum of its proper divisors (24840826698).

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

20444420022 is a wasteful number, since it uses less digits than its factorization.

20444420022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46397.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20444420022 its reverse (22002444402), we get a palindrome (42446864424).

The spelling of 20444420022 in words is "twenty billion, four hundred forty-four million, four hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 107 159 214 318 321 642 689 1378 1391 2067 2782 4134 4173 5671 8346 11342 17013 34026 46219 73723 92438 138657 147446 221169 277314 442338 600847 1201694 1802541 2449607 3605082 4899214 4945433 7348821 9890866 14697642 14836299 29672598 31844891 63689782 64290629 95534673 128581258 191069346 192871887 262107949 385743774 524215898 786323847 1572647694 3407403337 6814806674 10222210011 20444420022