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10503299808 = 25352947991
BaseRepresentation
bin10011100100000101…
…11010001011100000
31000002222210220200000
421302002322023200
5133002321043213
64454122100000
7521165401221
oct116202721340
930088726600
1010503299808
1144aa925671
12205164a600
13cb5059501
14718d37248
15417178c73
hex2720ba2e0

10503299808 has 288 divisors, whose sum is σ = 32757903360. Its totient is φ = 3305111040.

The previous prime is 10503299783. The next prime is 10503299809. The reversal of 10503299808 is 80899230501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105032998082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10503299809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10598193 + ... + 10599183.

It is an arithmetic number, because the mean of its divisors is an integer number (113742720).

Almost surely, 210503299808 is an apocalyptic number.

10503299808 is a gapful number since it is divisible by the number (18) 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 10503299808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378951680).

10503299808 is an abundant number, since it is smaller than the sum of its proper divisors (22254603552).

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

10503299808 is an equidigital number, since it uses as much as digits as its factorization.

10503299808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10503299808 in words is "ten billion, five hundred three million, two hundred ninety-nine thousand, eight hundred eight".