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11273896392 = 233111719294797
BaseRepresentation
bin10100111111111101…
…00000000111001000
31002002200211021110020
422133332200013020
5141042104141032
65102410420440
7546243352413
oct123776400710
932080737406
1011273896392
114865903250
122227731720
1310a88b5b15
1478d40ab7a
1545eb43b2c
hex29ffa01c8

11273896392 has 512 divisors, whose sum is σ = 36578304000. Its totient is φ = 2848849920.

The previous prime is 11273896379. The next prime is 11273896397. The reversal of 11273896392 is 29369837211.

11273896392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (11273896397) 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 127 ways as a sum of consecutive naturals, for example, 116225688 + ... + 116225784.

It is an arithmetic number, because the mean of its divisors is an integer number (71442000).

Almost surely, 211273896392 is an apocalyptic number.

11273896392 is a gapful number since it is divisible by the number (12) 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 11273896392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152000).

11273896392 is an abundant number, since it is smaller than the sum of its proper divisors (25304407608).

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

11273896392 is a wasteful number, since it uses less digits than its factorization.

11273896392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The spelling of 11273896392 in words is "eleven billion, two hundred seventy-three million, eight hundred ninety-six thousand, three hundred ninety-two".