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45444134250 = 2325389226937
BaseRepresentation
bin101010010100101011…
…100111010101101010
311100022002011012201100
4222110223213111222
51221032144244000
632513213302230
73166101524214
oct522453472552
9140262135640
1045444134250
1118300035749
128983194976
134392c35c88
1422b16415b4
1512ae91da00
hexa94ae756a

45444134250 has 96 divisors (see below), whose sum is σ = 124262171280. Its totient is φ = 11982220800.

The previous prime is 45444134243. The next prime is 45444134297. The reversal of 45444134250 is 5243144454.

It can be written as a sum of positive squares in 8 ways, for example, as 5843532249 + 39600602001 = 76443^2 + 198999^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 86782 + ... + 313718.

Almost surely, 245444134250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45444134250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62131085640).

45444134250 is an abundant number, since it is smaller than the sum of its proper divisors (78818037030).

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

45444134250 is a wasteful number, since it uses less digits than its factorization.

45444134250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227049 (or 227036 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 45444134250 in words is "forty-five billion, four hundred forty-four million, one hundred thirty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 125 150 178 225 250 267 375 445 450 534 750 801 890 1125 1335 1602 2225 2250 2670 4005 4450 6675 8010 11125 13350 20025 22250 33375 40050 66750 100125 200250 226937 453874 680811 1134685 1361622 2042433 2269370 3404055 4084866 5673425 6808110 10212165 11346850 17020275 20197393 20424330 28367125 34040550 40394786 51060825 56734250 60592179 85101375 100986965 102121650 121184358 170202750 181776537 201973930 255304125 302960895 363553074 504934825 510608250 605921790 908882685 1009869650 1514804475 1817765370 2524674125 3029608950 4544413425 5049348250 7574022375 9088826850 15148044750 22722067125 45444134250