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11341393920 = 212325371663
BaseRepresentation
bin10101000111111111…
…11111000000000000
31002021101211111122200
422203333333000000
5141211344101140
65113221233200
7551023154253
oct124377770000
932241744580
1011341393920
11489aa1512a
122246262800
1310b988959c
1479837b09a
15465a28030
hex2a3fff000

11341393920 has 312 divisors, whose sum is σ = 40398798336. Its totient is φ = 2940862464.

The previous prime is 11341393901. The next prime is 11341393937. The reversal of 11341393920 is 2939314311.

11341393920 is a `hidden beast` number, since 1 + 134 + 139 + 392 + 0 = 666.

11341393920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113413939202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6819009 + ... + 6820671.

It is an arithmetic number, because the mean of its divisors is an integer number (129483328).

Almost surely, 211341393920 is an apocalyptic number.

11341393920 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 11341393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20199399168).

11341393920 is an abundant number, since it is smaller than the sum of its proper divisors (29057404416).

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

11341393920 is a wasteful number, since it uses less digits than its factorization.

11341393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 11341393920 in words is "eleven billion, three hundred forty-one million, three hundred ninety-three thousand, nine hundred twenty".