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45305652150 = 232521131295247
BaseRepresentation
bin101010001100011011…
…010110001110110110
311022221102120120222200
4222030123112032312
51220241221332100
632451345205330
73162500455263
oct521433261666
9138842516880
1045305652150
1118239950030
128944930846
13437033a7c5
14229b0b426a
1512a26b6e00
hexa8c6d63b6

45305652150 has 144 divisors (see below), whose sum is σ = 137070655488. Its totient is φ = 10628856000.

The previous prime is 45305652127. The next prime is 45305652151. The reversal of 45305652150 is 5125650354.

45305652150 is a `hidden beast` number, since 4 + 5 + 30 + 56 + 521 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45305652151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5827 + ... + 301073.

It is an arithmetic number, because the mean of its divisors is an integer number (951879552).

Almost surely, 245305652150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45305652150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68535327744).

45305652150 is an abundant number, since it is smaller than the sum of its proper divisors (91765003338).

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

45305652150 is a wasteful number, since it uses less digits than its factorization.

45305652150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295307 (or 295299 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 45305652150 in words is "forty-five billion, three hundred five million, six hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 31 33 45 50 55 62 66 75 90 93 99 110 150 155 165 186 198 225 275 279 310 330 341 450 465 495 550 558 682 775 825 930 990 1023 1395 1550 1650 1705 2046 2325 2475 2790 3069 3410 4650 4950 5115 6138 6975 8525 10230 13950 15345 17050 25575 30690 51150 76725 153450 295247 590494 885741 1476235 1771482 2657223 2952470 3247717 4428705 5314446 6495434 7381175 8857410 9152657 9743151 13286115 14762350 16238585 18305314 19486302 22143525 26572230 27457971 29229453 32477170 44287050 45763285 48715755 54915942 58458906 66430575 81192925 82373913 91526570 97431510 100679227 132861150 137289855 146147265 162385850 164747826 201358454 228816425 243578775 274579710 292294530 302037681 411869565 457632850 487157550 503396135 604075362 686449275 730736325 823739130 906113043 1006792270 1372898550 1461472650 1510188405 1812226086 2059347825 2516980675 3020376810 4118695650 4530565215 5033961350 7550942025 9061130430 15101884050 22652826075 45305652150