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10024444420 = 22510938911821
BaseRepresentation
bin10010101011000000…
…01110001000000100
3221212121202112120021
421111200032020010
5131012224210140
64334414344524
7503262241324
oct112540161004
927777675507
1010024444420
1142845a0511
121b391bb144
13c39a98823
146b14c7284
153da0dab4a
hex25580e204

10024444420 has 48 divisors (see below), whose sum is σ = 21300879600. Its totient is φ = 3962442240.

The previous prime is 10024444393. The next prime is 10024444421. The reversal of 10024444420 is 2444442001.

Adding to 10024444420 its reverse (2444442001), we get a palindrome (12468886421).

It can be written as a sum of positive squares in 8 ways, for example, as 942735616 + 9081708804 = 30704^2 + 95298^2 .

It is not an unprimeable number, because it can be changed into a prime (10024444421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842110 + ... + 853930.

It is an arithmetic number, because the mean of its divisors is an integer number (443768325).

Almost surely, 210024444420 is an apocalyptic number.

10024444420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024444420 is an abundant number, since it is smaller than the sum of its proper divisors (11276435180).

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

10024444420 is a wasteful number, since it uses less digits than its factorization.

10024444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328 (or 12326 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The spelling of 10024444420 in words is "ten billion, twenty-four million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 389 436 545 778 1090 1556 1945 2180 3890 7780 11821 23642 42401 47284 59105 84802 118210 169604 212005 236420 424010 848020 1288489 2576978 4598369 5153956 6442445 9196738 12884890 18393476 22991845 25769780 45983690 91967380 501222221 1002444442 2004888884 2506111105 5012222210 10024444420