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45390200209354 = 271113131173071967
BaseRepresentation
bin10100101001000001110101…
…10000100111111111001010
312221201021001002120120012101
422110200322300213333022
521422133112223144404
6240311545313304014
712363222321623530
oct1224407260477712
9187637032516171
1045390200209354
111350a96a7751a0
125110b1226500a
131c4337b90b270
14b2cc7c6da150
1553aa838252a4
hex29483ac27fca

45390200209354 has 64 divisors (see below), whose sum is σ = 92113055096832. Its totient is φ = 16199536017600.

The previous prime is 45390200209349. The next prime is 45390200209373.

45390200209354 is nontrivially palindromic in base 10.

45390200209354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 86273722 + ... + 86798245.

It is an arithmetic number, because the mean of its divisors is an integer number (1439266485888).

Almost surely, 245390200209354 is an apocalyptic number.

45390200209354 is an abundant number, since it is smaller than the sum of its proper divisors (46722854887478).

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

45390200209354 is a wasteful number, since it uses less digits than its factorization.

45390200209354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173072131.

The product of its (nonzero) digits is 1166400, while the sum is 46.

It can be divided in two parts, 45390200 and 209354, that added together give a palindrome (45599554).

The spelling of 45390200209354 in words is "forty-five trillion, three hundred ninety billion, two hundred million, two hundred nine thousand, three hundred fifty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 131 143 154 182 262 286 917 1001 1441 1703 1834 2002 2882 3406 10087 11921 18733 20174 23842 37466 131131 262262 173071967 346143934 1211503769 1903791637 2249935571 2423007538 3807583274 4499871142 13326541459 15749548997 22672427677 24749291281 26653082918 31499097994 45344855354 49498582562 158706993739 173245038967 249396704447 294741559801 317413987478 346490077934 498793408894 589483119602 1745776931129 2063190918607 3242157157811 3491553862258 4126381837214 6484314315622 22695100104677 45390200209354