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45440633604454 = 211411271815034357
BaseRepresentation
bin10100101010011111110001…
…10100110000100101100110
312221220002012212220111010121
422111033320310300211212
521423444404200320304
6240351050000112154
712366656155460044
oct1225177064604546
9187802185814117
1045440633604454
111352a2a0042410
12511a84830565a
131c480583b299a
14b314a4805394
1553c036278554
hex2953f8d30966

45440633604454 has 128 divisors (see below), whose sum is σ = 77366136766464. Its totient is φ = 19837851264000.

The previous prime is 45440633604409. The next prime is 45440633604467.

It is a happy number.

45440633604454 is nontrivially palindromic in base 10.

45440633604454 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 an unprimeable number.

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, 10429337644 + ... + 10429342000.

It is an arithmetic number, because the mean of its divisors is an integer number (604422943488).

Almost surely, 245440633604454 is an apocalyptic number.

45440633604454 is a deficient number, since it is larger than the sum of its proper divisors (31925503162010).

45440633604454 is a wasteful number, since it uses less digits than its factorization.

45440633604454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222.

The product of its (nonzero) digits is 33177600, while the sum is 52.

The spelling of 45440633604454 in words is "forty-five trillion, four hundred forty billion, six hundred thirty-three million, six hundred four thousand, four hundred fifty-four".

Divisors: 1 2 11 22 41 82 127 181 254 362 451 503 902 1006 1397 1991 2794 3982 4357 5207 5533 7421 8714 10414 11066 14842 20623 22987 41246 45974 47927 57277 63881 81631 91043 95854 114554 127762 163262 178637 182086 226853 252857 357274 453706 505714 553339 702691 788617 942467 1001473 1106678 1405382 1577234 1884934 1965007 2002946 2191571 2619121 3732763 3930014 4383142 5238242 6086729 7465526 8674787 10367137 11562461 12173458 17349574 20734274 22686899 23124922 24107281 28810331 32333297 41060393 45373798 48214562 57620662 64666594 82120786 89854411 100154359 127187071 179708822 200308718 249555889 254374142 278329517 355666267 396674351 474060901 499111778 556659034 711332534 793348702 948121802 988398521 1101697949 1976797042 2203395898 3061624687 4106328719 4363417861 5214669911 6123249374 8212657438 8726835722 10429339822 11411510197 16263648391 22823020394 32527296782 45169615909 50377642577 90339231818 100755285154 125526612167 178900132301 251053224334 357800264602 554154068347 1108308136694 2065483345657 4130966691314 22720316802227 45440633604454