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38424848112 = 24327148925601
BaseRepresentation
bin100011110010010011…
…001010011011110000
310200011220010112022200
4203302103022123300
51112143230114422
625352505503200
72530126551150
oct436223123360
9120156115280
1038424848112
1115328909122
1275444a1b00
133814939821
141c07304760
15eed5952ac
hex8f24ca6f0

38424848112 has 120 divisors (see below), whose sum is σ = 122985863520. Its totient is φ = 10970726400.

The previous prime is 38424848107. The next prime is 38424848131. The reversal of 38424848112 is 21184842483.

38424848112 is a `hidden beast` number, since 3 + 84 + 2 + 484 + 81 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1488112 + ... + 1513712.

It is an arithmetic number, because the mean of its divisors is an integer number (1024882196).

Almost surely, 238424848112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38424848112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61492931760).

38424848112 is an abundant number, since it is smaller than the sum of its proper divisors (84561015408).

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

38424848112 is a wasteful number, since it uses less digits than its factorization.

38424848112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27111 (or 27102 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The spelling of 38424848112 in words is "thirty-eight billion, four hundred twenty-four million, eight hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1489 2978 4467 5956 8934 10423 11912 13401 17868 20846 23824 25601 26802 31269 35736 41692 51202 53604 62538 71472 76803 83384 93807 102404 107208 125076 153606 166768 179207 187614 204808 214416 230409 250152 307212 358414 375228 409616 460818 500304 537621 614424 716828 750456 921636 1075242 1228848 1433656 1500912 1612863 1843272 2150484 2867312 3225726 3686544 4300968 6451452 8601936 12902904 25805808 38119889 76239778 114359667 152479556 228719334 266839223 304959112 343079001 457438668 533678446 609918224 686158002 800517669 914877336 1067356892 1372316004 1601035338 1829754672 2134713784 2401553007 2744632008 3202070676 4269427568 4803106014 5489264016 6404141352 9606212028 12808282704 19212424056 38424848112