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11463063840 = 2533523432683
BaseRepresentation
bin10101010110100000…
…00111100100100000
31002120212202222102000
422223100013210200
5141434021020330
65133245124000
7554031302124
oct125320074440
932525688360
1011463063840
114952667588
12227ab59600
131108b49617
147aa5ad584
1547155d560
hex2ab407920

11463063840 has 384 divisors, whose sum is σ = 42854676480. Its totient is φ = 2854849536.

The previous prime is 11463063839. The next prime is 11463063851. The reversal of 11463063840 is 4836036411.

It is a happy number.

11463063840 is a `hidden beast` number, since 1 + 14 + 6 + 3 + 0 + 638 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11463063795 and 11463063804.

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 63 ways as a sum of consecutive naturals, for example, 4271139 + ... + 4273821.

It is an arithmetic number, because the mean of its divisors is an integer number (111600720).

Almost surely, 211463063840 is an apocalyptic number.

11463063840 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 11463063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427338240).

11463063840 is an abundant number, since it is smaller than the sum of its proper divisors (31391612640).

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

11463063840 is a wasteful number, since it uses less digits than its factorization.

11463063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11463063840 in words is "eleven billion, four hundred sixty-three million, sixty-three thousand, eight hundred forty".