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45524045000 = 235471776511
BaseRepresentation
bin101010011001011100…
…011100110011001000
311100111122112002122202
4222121130130303020
51221213123420000
632525150135332
73201061666160
oct523134346310
9140448462582
1045524045000
1118341155895
1289a5ab1548
1343a6664845
1422bc0c35a0
1512b6955dd5
hexa9971ccc8

45524045000 has 160 divisors (see below), whose sum is σ = 129072683520. Its totient is φ = 14689920000.

The previous prime is 45524044913. The next prime is 45524045009. The reversal of 45524045000 is 54042554.

It is not an unprimeable number, because it can be changed into a prime (45524045009) 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 39 ways as a sum of consecutive naturals, for example, 556745 + ... + 633255.

It is an arithmetic number, because the mean of its divisors is an integer number (806704272).

Almost surely, 245524045000 is an apocalyptic number.

45524045000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45524045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64536341760).

45524045000 is an abundant number, since it is smaller than the sum of its proper divisors (83548638520).

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

45524045000 is a wasteful number, since it uses less digits than its factorization.

45524045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76561 (or 76542 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

Adding to 45524045000 its reverse (54042554), we get a palindrome (45578087554).

The spelling of 45524045000 in words is "forty-five billion, five hundred twenty-four million, forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 625 680 700 850 875 952 1000 1190 1250 1400 1700 1750 2125 2380 2500 2975 3400 3500 4250 4375 4760 5000 5950 7000 8500 8750 10625 11900 14875 17000 17500 21250 23800 29750 35000 42500 59500 74375 76511 85000 119000 148750 153022 297500 306044 382555 535577 595000 612088 765110 1071154 1300687 1530220 1912775 2142308 2601374 2677885 3060440 3825550 4284616 5202748 5355770 6503435 7651100 9104809 9563875 10405496 10711540 13006870 13389425 15302200 18209618 19127750 21423080 26013740 26778850 32517175 36419236 38255500 45524045 47819375 52027480 53557700 65034350 66947125 72838472 76511000 91048090 95638750 107115400 130068700 133894250 162585875 182096180 191277500 227620225 260137400 267788500 325171750 334735625 364192360 382555000 455240450 535577000 650343500 669471250 812929375 910480900 1138101125 1300687000 1338942500 1625858750 1820961800 2276202250 2677885000 3251717500 4552404500 5690505625 6503435000 9104809000 11381011250 22762022500 45524045000