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38450503744 = 2612721932
BaseRepresentation
bin100011110011110101…
…000010000001000000
310200020200101222020021
4203303311002001000
51112221312104434
625355223423224
72530560614002
oct436365020100
9120220358207
1038450503744
1115341341624
127550bb4b14
13381a050283
141c0a8a2372
151000961cb4
hex8f3d42040

38450503744 has 63 divisors (see below), whose sum is σ = 77306278077. Its totient is φ = 18975043584.

The previous prime is 38450503709. The next prime is 38450503769. The reversal of 38450503744 is 44730505483.

The square root of 38450503744 is 196088.

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

It can be written as a sum of positive squares in only one way, i.e., 9316110400 + 29134393344 = 96520^2 + 170688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38450503744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 199225312 + ... + 199225504.

It is an arithmetic number, because the mean of its divisors is an integer number (1227083779).

Almost surely, 238450503744 is an apocalyptic number.

38450503744 is the 196088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38450503744

38450503744 is an abundant number, since it is smaller than the sum of its proper divisors (38855774333).

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

38450503744 is an frugal number, since it uses more digits than its factorization.

38450503744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 38450503744 in words is "thirty-eight billion, four hundred fifty million, five hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 127 193 254 386 508 772 1016 1544 2032 3088 4064 6176 8128 12352 16129 24511 32258 37249 49022 64516 74498 98044 129032 148996 196088 258064 297992 392176 516128 595984 784352 1032256 1191968 1568704 2383936 3112897 4730623 6225794 9461246 12451588 18922492 24903176 37844984 49806352 75689968 99612704 151379936 199225408 302759872 600789121 1201578242 2403156484 4806312968 9612625936 19225251872 38450503744