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182749410064 = 2413282212
BaseRepresentation
bin1010101000110010110…
…1101011001100010000
3122110201010020220211001
42222030231223030100
510443232322110224
6215542014031344
716126462232614
oct2521455531420
9573633226731
10182749410064
117055a306701
122b5024a8554
131430543aa00
148bb9011344
154b48c9d544
hex2a8cb6b310

182749410064 has 45 divisors (see below), whose sum is σ = 383455446399. Its totient is φ = 84335621760.

The previous prime is 182749410061. The next prime is 182749410071. The reversal of 182749410064 is 460014947281.

The square root of 182749410064 is 427492.

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 4165411600 + 178583998464 = 64540^2 + 422592^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 182749409996 and 182749410023.

It is not an unprimeable number, because it can be changed into a prime (182749410061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22225474 + ... + 22233694.

Almost surely, 2182749410064 is an apocalyptic number.

182749410064 is the 427492-nd square number.

It is an amenable number.

182749410064 is an abundant number, since it is smaller than the sum of its proper divisors (200706036335).

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

182749410064 is an frugal number, since it uses more digits than its factorization.

182749410064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 182749410064 in words is "one hundred eighty-two billion, seven hundred forty-nine million, four hundred ten thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 8221 16442 32884 65768 106873 131536 213746 427492 854984 1389349 1709968 2778698 5557396 11114792 22229584 67584841 135169682 270339364 540678728 878602933 1081357456 1757205866 3514411732 7028823464 11421838129 14057646928 22843676258 45687352516 91374705032 182749410064