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11463350720 = 26541592251
BaseRepresentation
bin10101010110100010…
…01101100111000000
31002120220022112221012
422223101031213000
5141434104210340
65133255220052
7554033605403
oct125321154700
932526275835
1011463350720
114952843078
12227b077628
131108c1a083
147aa645d3a
154715b8565
hex2ab44d9c0

11463350720 has 168 divisors, whose sum is σ = 28558193328. Its totient is φ = 4380160000.

The previous prime is 11463350671. The next prime is 11463350797. The reversal of 11463350720 is 2705336411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45670595 + ... + 45670845.

It is an arithmetic number, because the mean of its divisors is an integer number (169989246).

Almost surely, 211463350720 is an apocalyptic number.

11463350720 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 11463350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279096664).

11463350720 is an abundant number, since it is smaller than the sum of its proper divisors (17094842608).

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

11463350720 is an equidigital number, since it uses as much as digits as its factorization.

11463350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 11463350720 in words is "eleven billion, four hundred sixty-three million, three hundred fifty thousand, seven hundred twenty".