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11324328768 = 26353183283
BaseRepresentation
bin10101000101111101…
…11000101101000000
31002020012201111200000
422202332320231000
5141143012010033
65111411400000
7550425130524
oct124276705500
932205644600
1011324328768
1148913198a5
1222405b3000
1310b6192c6c
14795db7d84
154642a6a13
hex2a2fb8b40

11324328768 has 336 divisors, whose sum is σ = 35290085376. Its totient is φ = 3596244480.

The previous prime is 11324328751. The next prime is 11324328773. The reversal of 11324328768 is 86782342311.

11324328768 is a `hidden beast` number, since 1 + 132 + 432 + 87 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40015155 + ... + 40015437.

It is an arithmetic number, because the mean of its divisors is an integer number (105030016).

Almost surely, 211324328768 is an apocalyptic number.

11324328768 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 11324328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645042688).

11324328768 is an abundant number, since it is smaller than the sum of its proper divisors (23965756608).

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

11324328768 is an equidigital number, since it uses as much as digits as its factorization.

11324328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 11324328768 in words is "eleven billion, three hundred twenty-four million, three hundred twenty-eight thousand, seven hundred sixty-eight".