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11448535740 = 22351777107377
BaseRepresentation
bin10101010100110001…
…01100101010111100
31002112212102212121020
422222120230222330
5141421311120430
65132005504140
7553463643135
oct125230545274
932485385536
1011448535740
114945444394
122276112050
131105b30a05
147a86aac8c
1547013db10
hex2aa62cabc

11448535740 has 48 divisors (see below), whose sum is σ = 32074238112. Its totient is φ = 3051196416.

The previous prime is 11448535723. The next prime is 11448535741. The reversal of 11448535740 is 4753584411.

11448535740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11448535692 and 11448535701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11448535741) 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 15 ways as a sum of consecutive naturals, for example, 52932 + ... + 160308.

It is an arithmetic number, because the mean of its divisors is an integer number (668213294).

Almost surely, 211448535740 is an apocalyptic number.

11448535740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11448535740 is an abundant number, since it is smaller than the sum of its proper divisors (20625702372).

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

11448535740 is a wasteful number, since it uses less digits than its factorization.

11448535740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109166 (or 109164 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 11448535740 in words is "eleven billion, four hundred forty-eight million, five hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1777 3554 5331 7108 8885 10662 17770 21324 26655 35540 53310 106620 107377 214754 322131 429508 536885 644262 1073770 1288524 1610655 2147540 3221310 6442620 190808929 381617858 572426787 763235716 954044645 1144853574 1908089290 2289707148 2862133935 3816178580 5724267870 11448535740