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11472123664 = 24267772
BaseRepresentation
bin10101010111100101…
…01011011100010000
31002121111211021011001
422223302223130100
5141443330424124
65134211231344
7554201304451
oct125362533420
932544737131
1011472123664
114957795341
122281ba8554
13110a99c271
147ab88b128
1547224cb44
hex2abcab710

11472123664 has 15 divisors (see below), whose sum is σ = 22228069717. Its totient is φ = 5735847616.

The previous prime is 11472123647. The next prime is 11472123739. The reversal of 11472123664 is 46632127411.

The square root of 11472123664 is 107108.

It is a perfect power (a square), and thus also a powerful number.

11472123664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1669539600 + 9802584064 = 40860^2 + 99008^2 .

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 415044 + ... + 441820.

Almost surely, 211472123664 is an apocalyptic number.

11472123664 is the 107108-th square number.

It is an amenable number.

11472123664 is a deficient number, since it is larger than the sum of its proper divisors (10755946053).

11472123664 is an frugal number, since it uses more digits than its factorization.

11472123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53562 (or 26779 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The spelling of 11472123664 in words is "eleven billion, four hundred seventy-two million, one hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 26777 53554 107108 214216 428432 717007729 1434015458 2868030916 5736061832 11472123664