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11328798720 = 21435311487
BaseRepresentation
bin10101000110011111…
…11100000000000000
31002020112010121021210
422203033330000000
5141200133024340
65112051250120
7550511125461
oct124317740000
932215117253
1011328798720
1148938a2178
122241ba9940
1310b70996c5
1479681cd68
1546488b180
hex2a33fc000

11328798720 has 240 divisors, whose sum is σ = 37445603328. Its totient is φ = 2921594880.

The previous prime is 11328798703. The next prime is 11328798731. The reversal of 11328798720 is 2789782311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11328798720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7617817 + ... + 7619303.

Almost surely, 211328798720 is an apocalyptic number.

11328798720 is a gapful number since it is divisible by the number (10) 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 11328798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722801664).

11328798720 is an abundant number, since it is smaller than the sum of its proper divisors (26116804608).

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

11328798720 is an equidigital number, since it uses as much as digits as its factorization.

11328798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 11328798720 in words is "eleven billion, three hundred twenty-eight million, seven hundred ninety-eight thousand, seven hundred twenty".