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38387734223728 = 24292232771339337
BaseRepresentation
bin10001011101001110101110…
…10000110001101101110000
312000220211110012102112111011
420232213113100301231300
520012421034430124403
6213351025345200304
711041264561053001
oct1056472720615560
9160824405375434
1038387734223728
11112601682263aa
12437b972630094
131855c42432756
14969d94b891a8
154688468b8a6d
hex22e9d7431b70

38387734223728 has 80 divisors (see below), whose sum is σ = 77565028020480. Its totient is φ = 18382290167808.

The previous prime is 38387734223723. The next prime is 38387734223767. The reversal of 38387734223728 is 82732243778383.

38387734223728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38387734223723) 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 15 ways as a sum of consecutive naturals, for example, 27992076 + ... + 29331412.

It is an arithmetic number, because the mean of its divisors is an integer number (969562850256).

Almost surely, 238387734223728 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 38387734223728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38782514010240).

38387734223728 is an abundant number, since it is smaller than the sum of its proper divisors (39177293796752).

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

38387734223728 is a wasteful number, since it uses less digits than its factorization.

38387734223728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339874 (or 1339868 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 67.

The spelling of 38387734223728 in words is "thirty-eight trillion, three hundred eighty-seven billion, seven hundred thirty-four million, two hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 116 223 232 277 446 464 554 892 1108 1784 2216 3568 4432 6467 8033 12934 16066 25868 32132 51736 61771 64264 103472 123542 128528 247084 494168 988336 1339337 1791359 2678674 3582718 5357348 7165436 10714696 14330872 21429392 28661744 38840773 77681546 155363092 298672151 310726184 370996349 597344302 621452368 741992698 1194688604 1483985396 2389377208 2967970792 4778754416 5935941584 8661492379 10758894121 17322984758 21517788242 34645969516 43035576484 69291939032 82732185827 86071152968 138583878064 165464371654 172142305936 330928743308 661857486616 1323714973232 2399233388983 4798466777966 9596933555932 19193867111864 38387734223728