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45232011304000 = 265337152810849
BaseRepresentation
bin10100100100011011001011…
…11101110101110001000000
312221011010201122020112222221
422102031211331311301000
521412040124343212000
6240111144340140424
712345622256253613
oct1222154575656100
9187133648215887
1045232011304000
1113459874204274
1250a6325097714
131c3148b9475a1
14b2535354a17a
155368c5d8361a
hex292365f75c40

45232011304000 has 112 divisors (see below), whose sum is σ = 115044565287600. Its totient is φ = 17603809689600.

The previous prime is 45232011303953. The next prime is 45232011304019. The reversal of 45232011304000 is 40311023254.

It can be written as a sum of positive squares in 8 ways, for example, as 4100722200576 + 41131289103424 = 2025024^2 + 6413368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76109425 + ... + 76701424.

Almost surely, 245232011304000 is an apocalyptic number.

45232011304000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45232011304000 is an abundant number, since it is smaller than the sum of its proper divisors (69812553983600).

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

45232011304000 is a wasteful number, since it uses less digits than its factorization.

45232011304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152810913 (or 152810893 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 45232011304000 its reverse (40311023254), we get a palindrome (45272322327254).

The spelling of 45232011304000 in words is "forty-five trillion, two hundred thirty-two billion, eleven million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 740 800 925 1000 1184 1480 1600 1850 2000 2368 2960 3700 4000 4625 5920 7400 8000 9250 11840 14800 18500 29600 37000 59200 74000 148000 296000 152810849 305621698 611243396 764054245 1222486792 1528108490 2444973584 3056216980 3820271225 4889947168 5654001413 6112433960 7640542450 9779894336 11308002826 12224867920 15281084900 19101356125 22616005652 24449735840 28270007065 30562169800 38202712250 45232011304 48899471680 56540014130 61124339600 76405424500 90464022608 113080028260 122248679200 141350035325 152810849000 180928045216 226160056520 244497358400 282700070650 305621698000 361856090432 452320113040 565400141300 611243396000 706750176625 904640226080 1130800282600 1222486792000 1413500353250 1809280452160 2261600565200 2827000706500 4523201130400 5654001413000 9046402260800 11308002826000 22616005652000 45232011304000