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2060114796100 = 225217284432
BaseRepresentation
bin11101111110101000011…
…010010001111001000100
321021221111221102220100201
4131332220122101321010
5232223103341433400
64214223105420244
7301560364561204
oct35765032217104
97257457386321
102060114796100
11724765105959
1229332033a684
1311c363a1593a
14719d26a6404
15388c585906a
hex1dfa8691e44

2060114796100 has 81 divisors (see below), whose sum is σ = 4749447914967. Its totient is φ = 775480769280.

The previous prime is 2060114796097. The next prime is 2060114796107. The reversal of 2060114796100 is 16974110602.

The square root of 2060114796100 is 1435310.

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 48188152324 + 2011926643776 = 219518^2 + 1418424^2 .

It is a super-2 number, since 2×20601147961002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2060114796100.

It is not an unprimeable number, because it can be changed into a prime (2060114796107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 243998479 + ... + 244006921.

Almost surely, 22060114796100 is an apocalyptic number.

2060114796100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2060114796100 is the 1435310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2060114796100

2060114796100 is an abundant number, since it is smaller than the sum of its proper divisors (2689333118867).

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

2060114796100 is an frugal number, since it uses more digits than its factorization.

2060114796100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16934 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 2060114796100 in words is "two trillion, sixty billion, one hundred fourteen million, seven hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 8443 14450 16886 28900 33772 42215 84430 143531 168860 211075 287062 422150 574124 717655 844300 1435310 2440027 2870620 3588275 4880054 7176550 9760108 12200135 14353100 24400270 48800540 61000675 71284249 122001350 142568498 244002700 285136996 356421245 712842490 1211832233 1425684980 1782106225 2423664466 3564212450 4847328932 6059161165 7128424900 12118322330 20601147961 24236644660 30295805825 41202295922 60591611650 82404591844 103005739805 121183223300 206011479610 412022959220 515028699025 1030057398050 2060114796100