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10503335424 = 2938218329
BaseRepresentation
bin10011100100000110…
…00010111000000000
31000002222212201112010
421302003002320000
5133002323213144
64454122532520
7521165610111
oct116203027000
930088781463
1010503335424
1144aa94a3aa
122051667140
13cb506c79a
14718d46208
154171845b9
hex2720c2e00

10503335424 has 80 divisors (see below), whose sum is σ = 28018987920. Its totient is φ = 3496427520.

The previous prime is 10503335419. The next prime is 10503335461. The reversal of 10503335424 is 42453330501.

It is a super-2 number, since 2×105033354242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10503335391 and 10503335400.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1256892 + ... + 1265220.

It is an arithmetic number, because the mean of its divisors is an integer number (350237349).

Almost surely, 210503335424 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 10503335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14009493960).

10503335424 is an abundant number, since it is smaller than the sum of its proper divisors (17515652496).

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

10503335424 is an frugal number, since it uses more digits than its factorization.

10503335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 10503335424 its reverse (42453330501), we get a palindrome (52956665925).

The spelling of 10503335424 in words is "ten billion, five hundred three million, three hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 821 1536 1642 2463 3284 4926 6568 8329 9852 13136 16658 19704 24987 26272 33316 39408 49974 52544 66632 78816 99948 105088 133264 157632 199896 210176 266528 315264 399792 420352 533056 630528 799584 1066112 1261056 1599168 2132224 3198336 4264448 6396672 6838109 12793344 13676218 20514327 27352436 41028654 54704872 82057308 109409744 164114616 218819488 328229232 437638976 656458464 875277952 1312916928 1750555904 2625833856 3501111808 5251667712 10503335424