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10503040446 = 2343712011459
BaseRepresentation
bin10011100100000011…
…11010110110111110
31000002222022201220000
421302001322312332
5133002234243241
64454112335130
7521163241113
oct116201726676
930088281800
1010503040446
1144aa768818
1220515444a6
13cb4c98442
14718caa90a
15417126eb6
hex27207adbe

10503040446 has 80 divisors (see below), whose sum is σ = 24207366480. Its totient is φ = 3401222400.

The previous prime is 10503040439. The next prime is 10503040447. The reversal of 10503040446 is 64404030501.

It is a super-2 number, since 2×105030404462 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10503040447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7198065 + ... + 7199523.

It is an arithmetic number, because the mean of its divisors is an integer number (302592081).

Almost surely, 210503040446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503040446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103683240).

10503040446 is an abundant number, since it is smaller than the sum of its proper divisors (13704326034).

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

10503040446 is a wasteful number, since it uses less digits than its factorization.

10503040446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10503040446 its reverse (64404030501), we get a palindrome (74907070947).

The spelling of 10503040446 in words is "ten billion, five hundred three million, forty thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1201 1459 1998 2402 2918 2997 3603 4377 5994 7206 8754 10809 13131 21618 26262 32427 39393 44437 53983 64854 78786 88874 97281 107966 118179 133311 161949 194562 236358 266622 323898 399933 485847 799866 971694 1199799 1457541 1752259 2399598 2915082 3504518 3599397 4372623 5256777 7198794 8745246 10513554 15770331 31540662 47310993 64833583 94621986 129667166 141932979 194500749 283865958 389001498 583502247 1167004494 1750506741 3501013482 5251520223 10503040446