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45331244352 = 26349790149
BaseRepresentation
bin101010001101111100…
…111110010101000000
311100000012201210220000
4222031330332111000
51220314244304402
632454101520000
73163231135152
oct521574762500
9140005653800
1045331244352
111825233a909
128951413000
13437572b414
1422a0656ad2
1512a4a6ec1c
hexa8df3e540

45331244352 has 140 divisors (see below), whose sum is σ = 135762834900. Its totient is φ = 14954471424.

The previous prime is 45331244339. The next prime is 45331244363. The reversal of 45331244352 is 25344213354.

45331244352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8734023936 + 36597220416 = 93456^2 + 191304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 457774 + ... + 547922.

It is an arithmetic number, because the mean of its divisors is an integer number (969734535).

Almost surely, 245331244352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45331244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67881417450).

45331244352 is an abundant number, since it is smaller than the sum of its proper divisors (90431590548).

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

45331244352 is an equidigital number, since it uses as much as digits as its factorization.

45331244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90270 (or 90251 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 45331244352 in words is "forty-five billion, three hundred thirty-one million, two hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 288 291 324 388 432 576 582 648 776 864 873 1164 1296 1552 1728 1746 2328 2592 2619 3104 3492 4656 5184 5238 6208 6984 7857 9312 10476 13968 15714 18624 20952 27936 31428 41904 55872 62856 83808 90149 125712 167616 180298 251424 270447 360596 502848 540894 721192 811341 1081788 1442384 1622682 2163576 2434023 2884768 3245364 4327152 4868046 5769536 6490728 7302069 8654304 8744453 9736092 12981456 14604138 17308608 17488906 19472184 25962912 26233359 29208276 34977812 38944368 51925824 52466718 58416552 69955624 77888736 78700077 104933436 116833104 139911248 155777472 157400154 209866872 233666208 236100231 279822496 314800308 419733744 467332416 472200462 559644992 629600616 708300693 839467488 944400924 1259201232 1416601386 1678934976 1888801848 2518402464 2833202772 3777603696 5036804928 5666405544 7555207392 11332811088 15110414784 22665622176 45331244352