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11244558948 = 223717192931461
BaseRepresentation
bin10100111100011101…
…00101101001100100
31002000122121210001020
422132032211221210
5141012101341243
65055441531140
7545436113460
oct123616455144
932018553036
1011244558948
114850295627
122219943ab0
1310a27b359c
147895714a0
1545c29b283
hex29e3a5a64

11244558948 has 384 divisors, whose sum is σ = 35765452800. Its totient is φ = 2670796800.

The previous prime is 11244558937. The next prime is 11244558971. The reversal of 11244558948 is 84985544211.

It is a happy number.

11244558948 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 a self number, because there is not a number n which added to its sum of digits gives 11244558948.

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 127 ways as a sum of consecutive naturals, for example, 24391438 + ... + 24391898.

It is an arithmetic number, because the mean of its divisors is an integer number (93139200).

Almost surely, 211244558948 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 11244558948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882726400).

11244558948 is an abundant number, since it is smaller than the sum of its proper divisors (24520893852).

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

11244558948 is a wasteful number, since it uses less digits than its factorization.

11244558948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 51.

The spelling of 11244558948 in words is "eleven billion, two hundred forty-four million, five hundred fifty-eight thousand, nine hundred forty-eight".