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11244457460 = 2254113712753
BaseRepresentation
bin10100111100011100…
…01100110111110100
31002000122102121211102
422132032030313310
5141012040114320
65055435425232
7545435211545
oct123616146764
932018377742
1011244457460
114850226355
1222198b5218
1310a2779332
147895464cc
1545c27b175
hex29e38cdf4

11244457460 has 24 divisors (see below), whose sum is σ = 24189298056. Its totient is φ = 4388080640.

The previous prime is 11244457459. The next prime is 11244457463. The reversal of 11244457460 is 6475444211.

It can be written as a sum of positive squares in 4 ways, for example, as 1509477904 + 9734979556 = 38852^2 + 98666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244457463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6855557 + ... + 6857196.

It is an arithmetic number, because the mean of its divisors is an integer number (1007887419).

Almost surely, 211244457460 is an apocalyptic number.

11244457460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11244457460 is an abundant number, since it is smaller than the sum of its proper divisors (12944840596).

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

11244457460 is a wasteful number, since it uses less digits than its factorization.

11244457460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712803 (or 13712801 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 11244457460 in words is "eleven billion, two hundred forty-four million, four hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 13712753 27425506 54851012 68563765 137127530 274255060 562222873 1124445746 2248891492 2811114365 5622228730 11244457460