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68338325056 = 264127972
BaseRepresentation
bin111111101001010010…
…000001011001000000
320112101121121121101011
4333221102001121000
52104424102400211
651221051250304
74636326115201
oct775122013100
9215347547334
1068338325056
1126a892260a1
12112b2449994
1365a10c9441
1434440695a8
151b9e7cc921
hexfe9481640

68338325056 has 63 divisors (see below), whose sum is σ = 139171687747. Its totient is φ = 33293941760.

The previous prime is 68338325053. The next prime is 68338325057. The reversal of 68338325056 is 65052383386.

The square root of 68338325056 is 261416.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20471886400 + 47866438656 = 143080^2 + 218784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68338325053) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85744050 + ... + 85744846.

Almost surely, 268338325056 is an apocalyptic number.

68338325056 is the 261416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68338325056

68338325056 is an abundant number, since it is smaller than the sum of its proper divisors (70833362691).

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

68338325056 is an frugal number, since it uses more digits than its factorization.

68338325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

Multiplying 68338325056 by its sum of digits (49), we get a square (3348577927744 = 18299122).

The spelling of 68338325056 in words is "sixty-eight billion, three hundred thirty-eight million, three hundred twenty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 797 1312 1594 1681 2624 3188 3362 6376 6724 12752 13448 25504 26896 32677 51008 53792 65354 107584 130708 261416 522832 635209 1045664 1270418 1339757 2091328 2540836 2679514 5081672 5359028 10163344 10718056 20326688 21436112 26043569 40653376 42872224 52087138 85744448 104174276 208348552 416697104 833394208 1067786329 1666788416 2135572658 4271145316 8542290632 17084581264 34169162528 68338325056