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11273243436 = 223271343791013
BaseRepresentation
bin10100111111111000…
…00000101100101100
31002002122121002202200
422133330000230230
5141041422242221
65102344421500
7546234662640
oct123774005454
932078532680
1011273243436
1148654a7714
122227477890
1310a8717860
1478d2bac20
1545ea65426
hex29ff00b2c

11273243436 has 288 divisors, whose sum is σ = 36378101760. Its totient is φ = 2864429568.

The previous prime is 11273243413. The next prime is 11273243441. The reversal of 11273243436 is 63434237211.

11273243436 is a `hidden beast` number, since 112 + 73 + 2 + 43 + 436 = 666.

11273243436 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-4 number, since 4×112732434364 (a number of 41 digits) contains 4444 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 11273243436.

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 95 ways as a sum of consecutive naturals, for example, 11128066 + ... + 11129078.

Almost surely, 211273243436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11273243436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18189050880).

11273243436 is an abundant number, since it is smaller than the sum of its proper divisors (25104858324).

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

11273243436 is a wasteful number, since it uses less digits than its factorization.

11273243436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1160 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 11273243436 in words is "eleven billion, two hundred seventy-three million, two hundred forty-three thousand, four hundred thirty-six".