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45343044450 = 232521138323917
BaseRepresentation
bin101010001110101001…
…111111001101100010
311100001000221022120200
4222032221333031202
51220330304410300
632455202450030
73163433342604
oct521651771542
9140030838520
1045343044450
1118258a6a460
128955363916
134378000422
1422a2049174
1512a5b01200
hexa8ea7f362

45343044450 has 144 divisors (see below), whose sum is σ = 133248900096. Its totient is φ = 10963094400.

The previous prime is 45343044431. The next prime is 45343044457. The reversal of 45343044450 is 5444034354.

45343044450 is a `hidden beast` number, since 4 + 534 + 30 + 4 + 44 + 50 = 666.

It is not an unprimeable number, because it can be changed into a prime (45343044457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1883892 + ... + 1907808.

It is an arithmetic number, because the mean of its divisors is an integer number (925339584).

Almost surely, 245343044450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45343044450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624450048).

45343044450 is an abundant number, since it is smaller than the sum of its proper divisors (87905855646).

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

45343044450 is a wasteful number, since it uses less digits than its factorization.

45343044450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24329 (or 24321 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 45343044450 in words is "forty-five billion, three hundred forty-three million, forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 383 450 495 550 766 825 990 1149 1650 1915 2298 2475 3447 3830 4213 4950 5745 6894 8426 9575 11490 12639 17235 19150 21065 23917 25278 28725 34470 37917 42130 47834 57450 63195 71751 75834 86175 105325 119585 126390 143502 172350 189585 210650 215253 239170 263087 315975 358755 379170 430506 526174 597925 631950 717510 789261 947925 1076265 1195850 1315435 1578522 1793775 1895850 2152530 2367783 2630870 3587550 3946305 4735566 5381325 6577175 7892610 9160211 10762650 11838915 13154350 18320422 19731525 23677830 27480633 39463050 45801055 54961266 59194575 82441899 91602110 100762321 118389150 137403165 164883798 201524642 229005275 274806330 302286963 412209495 458010550 503811605 604573926 687015825 824418990 906860889 1007623210 1374031650 1511434815 1813721778 2061047475 2519058025 3022869630 4122094950 4534304445 5038116050 7557174075 9068608890 15114348150 22671522225 45343044450