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10503606504244 = 22717476769110141
BaseRepresentation
bin1001100011011000111110…
…1111000000101100110100
31101012010122101201100211011
42120312033233000230310
52334042341231113434
634201142404122004
72132601106115410
oct230661757005464
941163571640734
1010503606504244
11338a611052537
121217804696304
135b2641522a79
1428453d315d40
151333524bee64
hex98d8fbc0b34

10503606504244 has 192 divisors, whose sum is σ = 23090874605568. Its totient is φ = 4078402099200.

The previous prime is 10503606504233. The next prime is 10503606504253. The reversal of 10503606504244 is 44240560630501.

10503606504244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105036065042442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10503606504197 and 10503606504206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1035751414 + ... + 1035761554.

It is an arithmetic number, because the mean of its divisors is an integer number (120264971904).

Almost surely, 210503606504244 is an apocalyptic number.

10503606504244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503606504244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545437302784).

10503606504244 is an abundant number, since it is smaller than the sum of its proper divisors (12587268101324).

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

10503606504244 is a wasteful number, since it uses less digits than its factorization.

10503606504244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10974 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 10503606504244 in words is "ten trillion, five hundred three billion, six hundred six million, five hundred four thousand, two hundred forty-four".