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45193833941320 = 2352769494079617
BaseRepresentation
bin10100100011010100000100…
…11010110000100101001000
312221000111011222210120212101
422101222002122300211020
521410423432442110240
6240041432150523144
712343101223112341
oct1221520232604510
9187014158716771
1045193833941320
1113444663071669
12509aa4b6664b4
131c2a9b637ca5c
14b235710690c8
155358de3c739a
hex291a826b0948

45193833941320 has 32 divisors (see below), whose sum is σ = 101686518459000. Its totient is φ = 18077463871488.

The previous prime is 45193833941299. The next prime is 45193833941329. The reversal of 45193833941320 is 2314933839154.

It can be written as a sum of positive squares in 4 ways, for example, as 25547788288324 + 19646045652996 = 5054482^2 + 4432386^2 .

It is not an unprimeable number, because it can be changed into a prime (45193833941329) 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 7 ways as a sum of consecutive naturals, for example, 9038152 + ... + 13117768.

Almost surely, 245193833941320 is an apocalyptic number.

45193833941320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45193833941320 is an abundant number, since it is smaller than the sum of its proper divisors (56492684517680).

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

45193833941320 is a wasteful number, since it uses less digits than its factorization.

45193833941320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356577 (or 4356573 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 45193833941320 in words is "forty-five trillion, one hundred ninety-three billion, eight hundred thirty-three million, nine hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 276949 553898 1107796 1384745 2215592 2769490 4079617 5538980 8159234 11077960 16318468 20398085 32636936 40796170 81592340 163184680 1129845848533 2259691697066 4519383394132 5649229242665 9038766788264 11298458485330 22596916970660 45193833941320