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45466653024 = 253513449773
BaseRepresentation
bin101010010110000001…
…100001000101100000
311100100122112021200000
4222112001201011200
51221103430344044
632515340100000
73166464113502
oct522601410540
9140318467600
1045466653024
1118311816401
12898a834600
1343977bb9b0
1422b4623d72
1512b18bad69
hexa96061160

45466653024 has 144 divisors (see below), whose sum is σ = 144399043152. Its totient is φ = 13989708288.

The previous prime is 45466653019. The next prime is 45466653049. The reversal of 45466653024 is 42035666454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123799 + ... + 325974.

It is an arithmetic number, because the mean of its divisors is an integer number (1002771133).

Almost surely, 245466653024 is an apocalyptic number.

It is an amenable number.

45466653024 is an abundant number, since it is smaller than the sum of its proper divisors (98932390128).

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

45466653024 is a wasteful number, since it uses less digits than its factorization.

45466653024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449811 (or 449791 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

It can be divided in two parts, 4546665 and 3024, that added together give a square (4549689 = 21332).

The spelling of 45466653024 in words is "forty-five billion, four hundred sixty-six million, six hundred fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 25272 33696 50544 101088 449773 899546 1349319 1799092 2698638 3598184 4047957 5397276 5847049 7196368 8095914 10794552 11694098 12143871 14392736 16191828 17541147 21589104 23388196 24287742 32383656 35082294 36431613 43178208 46776392 48575484 52623441 64767312 70164588 72863226 93552784 97150968 105246882 109294839 129534624 140329176 145726452 157870323 187105568 194301936 210493764 218589678 280658352 291452904 315740646 388603872 420987528 437179356 473610969 561316704 582905808 631481292 841975056 874358712 947221938 1165811616 1262962584 1420832907 1683950112 1748717424 1894443876 2525925168 2841665814 3497434848 3788887752 5051850336 5683331628 7577775504 11366663256 15155551008 22733326512 45466653024