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38244649727268 = 22324722603220879
BaseRepresentation
bin10001011001000100001101…
…10000101111010100100100
312000102011010101201000001100
420230202012300233110210
520003100020312233033
6213201203300000100
711025041033646435
oct1054420660572444
9160364111630040
1038244649727268
111120551280a436
12435809b990030
1318455bb81332a
1496309da3b48c
15464c6eeb2513
hex22c886c2f524

38244649727268 has 36 divisors (see below), whose sum is σ = 98730868803840. Its totient is φ = 12476977924656.

The previous prime is 38244649727267. The next prime is 38244649727327. The reversal of 38244649727268 is 86272794644283.

38244649727268 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 4 + 6 + 497 + 2 + 72 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×382446497272682 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38244649727196 and 38244649727205.

It is not an unprimeable number, because it can be changed into a prime (38244649727267) 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 11 ways as a sum of consecutive naturals, for example, 11301608748 + ... + 11301612131.

It is an arithmetic number, because the mean of its divisors is an integer number (2742524133440).

Almost surely, 238244649727268 is an apocalyptic number.

It is an amenable number.

38244649727268 is an abundant number, since it is smaller than the sum of its proper divisors (60486219076572).

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

38244649727268 is a wasteful number, since it uses less digits than its factorization.

38244649727268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22603220936 (or 22603220931 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 38244649727268 in words is "thirty-eight trillion, two hundred forty-four billion, six hundred forty-nine million, seven hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 22603220879 45206441758 67809662637 90412883516 135619325274 203428987911 271238650548 406857975822 813715951644 1062351381313 2124702762626 3187054143939 4249405525252 6374108287878 9561162431817 12748216575756 19122324863634 38244649727268