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338488668896 = 257388732
BaseRepresentation
bin1001110110011110111…
…11110011001011100000
31012100200212010222201112
410323033133303023200
521021211044401041
6415255522522452
733312031133120
oct4731737631340
91170625128645
10338488668896
11120609035974
1255727206428
1325bc4a524c1
1412550adac80
158c1165ddeb
hex4ecf7f32e0

338488668896 has 36 divisors (see below), whose sum is σ = 761619097512. Its totient is φ = 145062840576.

The previous prime is 338488668893. The next prime is 338488668923. The reversal of 338488668896 is 698866884833.

It is a super-2 number, since 2×3384886688962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338488668893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8688116 + ... + 8726988.

It is an arithmetic number, because the mean of its divisors is an integer number (21156086042).

Almost surely, 2338488668896 is an apocalyptic number.

It is an amenable number.

338488668896 is an abundant number, since it is smaller than the sum of its proper divisors (423130428616).

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

338488668896 is an frugal number, since it uses more digits than its factorization.

338488668896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77763 (or 38882 counting only the distinct ones).

The product of its digits is 2293235712, while the sum is 77.

The spelling of 338488668896 in words is "three hundred thirty-eight billion, four hundred eighty-eight million, six hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 38873 77746 155492 272111 310984 544222 621968 1088444 1243936 2176888 4353776 8707552 1511110129 3022220258 6044440516 10577770903 12088881032 21155541806 24177762064 42311083612 48355524128 84622167224 169244334448 338488668896