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11340546064 = 247923372
BaseRepresentation
bin10101000111111001…
…10000000000010000
31002021100020102121121
422203330300000100
5141211134433224
65113151132024
7551013023341
oct124374600020
932240212547
1011340546064
11489a496121
122245b14014
1310b96506b3
147981da0c8
1546590bbe4
hex2a3f30010

11340546064 has 45 divisors (see below), whose sum is σ = 22320190557. Its totient is φ = 5581884672.

The previous prime is 11340546029. The next prime is 11340546103. The reversal of 11340546064 is 46064504311.

The square root of 11340546064 is 106492.

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., 3058090000 + 8282456064 = 55300^2 + 91008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33651304 + ... + 33651640.

Almost surely, 211340546064 is an apocalyptic number.

11340546064 is the 106492-nd square number.

It is an amenable number.

11340546064 is a deficient number, since it is larger than the sum of its proper divisors (10979644493).

11340546064 is an frugal number, since it uses more digits than its factorization.

11340546064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 11340546064 in words is "eleven billion, three hundred forty million, five hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 79 158 316 337 632 674 1264 1348 2696 5392 6241 12482 24964 26623 49928 53246 99856 106492 113569 212984 227138 425968 454276 908552 1817104 2103217 4206434 8412868 8971951 16825736 17943902 33651472 35887804 71775608 143551216 708784129 1417568258 2835136516 5670273032 11340546064