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45107133577710 = 23523467811172607
BaseRepresentation
bin10100100000110010100101…
…01011000111100111101110
312220201012101200202202221020
422100121102223013213232
521403013402143441320
6235533533041115010
712333611551145061
oct1220312253074756
9186635350682836
1045107133577710
1113410911a671a6
125086093928a66
131c2277a043459
14b1d2a84908d8
15533517a7a940
hex290652ac79ee

45107133577710 has 128 divisors (see below), whose sum is σ = 113346089385984. Its totient is φ = 11466727493760.

The previous prime is 45107133577703. The next prime is 45107133577711. The reversal of 45107133577710 is 1777533170154.

45107133577710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45107133577711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261242227 + ... + 261414833.

It is an arithmetic number, because the mean of its divisors is an integer number (885516323328).

Almost surely, 245107133577710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45107133577710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56673044692992).

45107133577710 is an abundant number, since it is smaller than the sum of its proper divisors (68238955808274).

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

45107133577710 is a wasteful number, since it uses less digits than its factorization.

45107133577710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173918.

The product of its (nonzero) digits is 2160900, while the sum is 51.

The spelling of 45107133577710 in words is "forty-five trillion, one hundred seven billion, one hundred thirty-three million, five hundred seventy-seven thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 467 690 811 934 1401 1622 2335 2433 2802 4055 4670 4866 7005 8110 10741 12165 14010 18653 21482 24330 32223 37306 53705 55959 64446 93265 107410 111918 161115 172607 186530 279795 322230 345214 378737 517821 559590 757474 863035 1035642 1136211 1726070 1893685 2272422 2589105 3787370 3969961 5178210 5681055 7939922 8710951 11362110 11909883 17421902 19849805 23819766 26132853 39699610 43554755 52265706 59549415 80607469 87109510 119098830 130664265 139984277 161214938 241822407 261328530 279968554 403037345 419952831 483644814 699921385 806074690 839905662 1209112035 1399842770 1853971787 2099764155 2418224070 3219638371 3707943574 4199528310 5561915361 6439276742 9269858935 9658915113 11123830722 16098191855 18539717870 19317830226 27809576805 32196383710 48294575565 55619153610 65372657359 96589151130 130745314718 196117972077 326863286795 392235944154 653726573590 980589860385 1503571119257 1961179720770 3007142238514 4510713357771 7517855596285 9021426715542 15035711192570 22553566788855 45107133577710