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11348366328 = 23361343592
BaseRepresentation
bin10101001000110101…
…00101001111111000
31002021212221202000000
422210122211033320
5141220140210303
65114030513000
7551136344055
oct124432451770
932255852000
1011348366328
1148a3947652
122248665760
1310bb15b080
1479927402c
15466453da3
hex2a46a53f8

11348366328 has 336 divisors, whose sum is σ = 35761692120. Its totient is φ = 3352793472.

The previous prime is 11348366321. The next prime is 11348366369. The reversal of 11348366328 is 82366384311.

11348366328 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 8 + 3 + 6 + 632 + 8 = 666.

11348366328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11348366321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 192345163 + ... + 192345221.

Almost surely, 211348366328 is an apocalyptic number.

11348366328 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 11348366328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17880846060).

11348366328 is an abundant number, since it is smaller than the sum of its proper divisors (24413325792).

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

11348366328 is an equidigital number, since it uses as much as digits as its factorization.

11348366328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 120 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 11348366328 in words is "eleven billion, three hundred forty-eight million, three hundred sixty-six thousand, three hundred twenty-eight".