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45204065444112 = 24323209924597933
BaseRepresentation
bin10100100011100111001000…
…10000110110000100010000
312221001110121001011210010020
422101303210100312010100
521411110411223202422
6240050243323303440
712343612611336501
oct1221634420660420
9187043531153106
1045204065444112
1113448a335260a3
1250a0a2607ab80
131c2b957004513
14b23c61c50ba8
15535cdc76395c
hex291ce4436110

45204065444112 has 160 divisors (see below), whose sum is σ = 121977442944000. Its totient is φ = 14398350168576.

The previous prime is 45204065444099. The next prime is 45204065444113. The reversal of 45204065444112 is 21144456040254.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45204065444113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698226898 + ... + 5698234830.

It is an arithmetic number, because the mean of its divisors is an integer number (762359018400).

Almost surely, 245204065444112 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 45204065444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60988721472000).

45204065444112 is an abundant number, since it is smaller than the sum of its proper divisors (76773377499888).

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

45204065444112 is a wasteful number, since it uses less digits than its factorization.

45204065444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 45204065444112 in words is "forty-five trillion, two hundred four billion, sixty-five million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 2099 2459 4198 4918 6297 7377 7933 8396 9836 12594 14754 15866 16792 19672 23799 25188 29508 31732 33584 39344 47598 48277 50376 56557 59016 63464 95196 96554 100752 113114 118032 126928 144831 169671 182459 190392 193108 226228 289662 339342 364918 380784 386216 452456 547377 579324 678684 729836 772432 904912 1094754 1158648 1357368 1459672 2189508 2317296 2714736 2919344 4379016 5161441 8758032 10322882 15484323 16651367 19507247 20645764 30968646 33302734 39014494 41291528 49954101 58521741 61937292 66605468 78028988 82583056 99908202 117043482 118713143 123874584 133210936 156057976 199816404 234086964 237426286 247749168 266421872 312115952 356139429 382981441 399632808 448666681 468173928 474852572 712278858 765962882 799265616 897333362 936347856 949705144 1148944323 1346000043 1424557716 1531925764 1794666724 1899410288 2297888646 2692000086 2849115432 3063851528 3589333448 4595777292 5384000172 5698230864 6127703056 7178666896 9191554584 10768000344 18383109168 21536000688 40945711453 81891422906 122837134359 163782845812 245674268718 327565691624 491348537436 655131383248 941751363419 982697074872 1883502726838 1965394149744 2825254090257 3767005453676 5650508180514 7534010907352 11301016361028 15068021814704 22602032722056 45204065444112