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545045100041 = 131737310096553
BaseRepresentation
bin1111110111001110011…
…10000011011000001001
31221002212010111212221002
413323213032003120021
532412223021200131
61054220144024345
754243503623541
oct7734716033011
91832763455832
10545045100041
111a0174827902
12897726020b5
133c5224bcc20
141c547872321
15e2a04ce6cb
hex7ee7383609

545045100041 has 32 divisors (see below), whose sum is σ = 623878405920. Its totient is φ = 471713808384.

The previous prime is 545045100023. The next prime is 545045100097. The reversal of 545045100041 is 140001540545.

It can be written as a sum of positive squares in 16 ways, for example, as 173559726025 + 371485374016 = 416605^2 + 609496^2 .

It is a de Polignac number, because none of the positive numbers 2k-545045100041 is a prime.

It is a super-2 number, since 2×5450451000412 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 545045099977 and 545045100013.

It is not an unprimeable number, because it can be changed into a prime (545045700041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83171621 + ... + 83178173.

It is an arithmetic number, because the mean of its divisors is an integer number (19496200185).

Almost surely, 2545045100041 is an apocalyptic number.

It is an amenable number.

545045100041 is a deficient number, since it is larger than the sum of its proper divisors (78833305879).

545045100041 is a wasteful number, since it uses less digits than its factorization.

545045100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965.

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 545045100041 its reverse (140001540545), we get a palindrome (685046640586).

The spelling of 545045100041 in words is "five hundred forty-five billion, forty-five million, one hundred thousand, forty-one".

Divisors: 1 13 17 221 373 1009 4849 6341 6553 13117 17153 82433 85189 111401 222989 376357 1448213 2444269 4892641 6398069 6611977 31775497 41552573 83174897 85955701 112403609 540183449 1461246917 2466267421 32061476473 41926546157 545045100041