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11243432256 = 2637171633019
BaseRepresentation
bin10100111100010100…
…10010100101000000
31002000120111112111220
422132022102211000
5141011304313011
65055401435040
7545423411610
oct123612224500
932016445456
1011243432256
11484a696081
12221949ba80
1310a24aa7c4
1478935aa40
1545c127506
hex29e292940

11243432256 has 224 divisors, whose sum is σ = 36230722560. Its totient is φ = 3003899904.

The previous prime is 11243432251. The next prime is 11243432279. The reversal of 11243432256 is 65223434211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×112434322562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243432251) 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 31 ways as a sum of consecutive naturals, for example, 3722715 + ... + 3725733.

Almost surely, 211243432256 is an apocalyptic number.

11243432256 is a gapful number since it is divisible by the number (16) 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 11243432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115361280).

11243432256 is an abundant number, since it is smaller than the sum of its proper divisors (24987290304).

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

11243432256 is a wasteful number, since it uses less digits than its factorization.

11243432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3211 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

Adding to 11243432256 its reverse (65223434211), we get a palindrome (76466866467).

The spelling of 11243432256 in words is "eleven billion, two hundred forty-three million, four hundred thirty-two thousand, two hundred fifty-six".