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68740449856 = 2613225212
BaseRepresentation
bin100000000000101000…
…0000000011001000000
320120102122021122220021
41000001100000121000
52111240023343411
651325014223224
74652311116541
oct1000120003100
9216378248807
1068740449856
1127175212441
12113a5054b14
136636502c00
1434816244c8
151bc4c60a71
hex1001400640

68740449856 has 63 divisors (see below), whose sum is σ = 147765418083. Its totient is φ = 31713776640.

The previous prime is 68740449823. The next prime is 68740449857. The reversal of 68740449856 is 65894404786.

The square root of 68740449856 is 262184.

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 57159246400 + 11581203456 = 239080^2 + 107616^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 68740449794 and 68740449803.

It is not an unprimeable number, because it can be changed into a prime (68740449857) 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, 27265876 + ... + 27268396.

Almost surely, 268740449856 is an apocalyptic number.

68740449856 is the 262184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68740449856

68740449856 is an abundant number, since it is smaller than the sum of its proper divisors (79024968227).

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

68740449856 is an frugal number, since it uses more digits than its factorization.

68740449856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 68740449856 in words is "sixty-eight billion, seven hundred forty million, four hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2521 2704 5042 5408 10084 10816 20168 32773 40336 65546 80672 131092 161344 262184 426049 524368 852098 1048736 1704196 2097472 3408392 6355441 6816784 12710882 13633568 25421764 27267136 50843528 82620733 101687056 165241466 203374112 330482932 406748224 660965864 1074069529 1321931728 2148139058 2643863456 4296278116 5287726912 8592556232 17185112464 34370224928 68740449856