Search a number
-
+
68068810000 = 245426092
BaseRepresentation
bin111111011001001101…
…111001110100010000
320111200211110211020001
4333121031321310100
52103401103410000
651134222455344
74626544224052
oct773115716420
9214624424201
1068068810000
1126960083484
1211238134554
13655a313289
14341a34d8d2
151b85ce146a
hexfd9379d10

68068810000 has 75 divisors (see below), whose sum is σ = 164864586601. Its totient is φ = 27217088000.

The previous prime is 68068809961. The next prime is 68068810009. The reversal of 68068810000 is 1886086.

The square root of 68068810000 is 260900.

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

It can be written as a sum of positive squares in 7 ways, for example, as 53422001424 + 14646808576 = 231132^2 + 121024^2 .

It is a super-2 number, since 2×680688100002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68068810009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 26088696 + ... + 26091304.

Almost surely, 268068810000 is an apocalyptic number.

68068810000 is the 260900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68068810000

68068810000 is an abundant number, since it is smaller than the sum of its proper divisors (96795776601).

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

68068810000 is an frugal number, since it uses more digits than its factorization.

68068810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 68068810000 in words is "sixty-eight billion, sixty-eight million, eight hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 2609 5000 5218 10000 10436 13045 20872 26090 41744 52180 65225 104360 130450 208720 260900 326125 521800 652250 1043600 1304500 1630625 2609000 3261250 5218000 6522500 6806881 13045000 13613762 26090000 27227524 34034405 54455048 68068810 108910096 136137620 170172025 272275240 340344050 544550480 680688100 850860125 1361376200 1701720250 2722752400 3403440500 4254300625 6806881000 8508601250 13613762000 17017202500 34034405000 68068810000