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45146900484 = 22327250592
BaseRepresentation
bin101010000010111101…
…110000100000000100
311022112100212011122100
4222002331300200010
51214430101303414
632423514432100
73155532215400
oct520275604004
9138470764570
1045146900484
1118168280604
1288bb732630
1343464962ca
142283d8c100
1512937a9609
hexa82f70804

45146900484 has 81 divisors (see below), whose sum is σ = 132779632167. Its totient is φ = 12896564688.

The previous prime is 45146900453. The next prime is 45146900489. The reversal of 45146900484 is 48400964154.

The square root of 45146900484 is 212478.

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

45146900484 is a `hidden beast` number, since 4 + 514 + 6 + 90 + 0 + 48 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (45146900489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8921547 + ... + 8926605.

Almost surely, 245146900484 is an apocalyptic number.

45146900484 is the 212478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45146900484

45146900484 is an abundant number, since it is smaller than the sum of its proper divisors (87632731683).

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

45146900484 is an equidigital number, since it uses as much as digits as its factorization.

45146900484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45146900484 in words is "forty-five billion, one hundred forty-six million, nine hundred thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5059 10118 15177 20236 30354 35413 45531 60708 70826 91062 106239 141652 182124 212478 247891 318717 424956 495782 637434 743673 991564 1274868 1487346 2231019 2974692 4462038 8924076 25593481 51186962 76780443 102373924 153560886 179154367 230341329 307121772 358308734 460682658 537463101 716617468 921365316 1074926202 1254080569 1612389303 2149852404 2508161138 3224778606 3762241707 5016322276 6449557212 7524483414 11286725121 15048966828 22573450242 45146900484