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11324371968 = 210337213643
BaseRepresentation
bin10101000101111110…
…00011010000000000
31002020012210200221000
422202333003100000
5141143014400333
65111412332000
7550425400500
oct124277032000
932205720830
1011324371968
1148913492a8
122240614000
1310b61a9820
14795dc9a00
154642b4713
hex2a2fc3400

11324371968 has 528 divisors, whose sum is σ = 42079114560. Its totient is φ = 2982002688.

The previous prime is 11324371939. The next prime is 11324371969. The reversal of 11324371968 is 86917342311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324371969) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17611455 + ... + 17612097.

Almost surely, 211324371968 is an apocalyptic number.

11324371968 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 11324371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21039557280).

11324371968 is an abundant number, since it is smaller than the sum of its proper divisors (30754742592).

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

11324371968 is a wasteful number, since it uses less digits than its factorization.

11324371968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 668 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 11324371968 in words is "eleven billion, three hundred twenty-four million, three hundred seventy-one thousand, nine hundred sixty-eight".