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541314545013 = 32118578877193
BaseRepresentation
bin1111110000010001101…
…11000111010101110101
31220202020010211001111100
413320020313013111311
532332103010420023
61052402041200313
754052164500034
oct7701067072565
91822203731440
10541314545013
1119962aa48680
1288ab1190099
133c07965b808
141c2b221a71b
15e132c2ec43
hex7e08dc7575

541314545013 has 48 divisors (see below), whose sum is σ = 855057430656. Its totient is φ = 327271672320.

The previous prime is 541314544999. The next prime is 541314545029. The reversal of 541314545013 is 310545413145.

541314545013 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 145 + 4 + 501 + 3 = 666.

It is not a de Polignac number, because 541314545013 - 216 = 541314479477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541314545053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75252145 + ... + 75259337.

It is an arithmetic number, because the mean of its divisors is an integer number (17813696472).

Almost surely, 2541314545013 is an apocalyptic number.

It is an amenable number.

541314545013 is a deficient number, since it is larger than the sum of its proper divisors (313742885643).

541314545013 is a wasteful number, since it uses less digits than its factorization.

541314545013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 541314545013 its reverse (310545413145), we get a palindrome (851859958158).

The spelling of 541314545013 in words is "five hundred forty-one billion, three hundred fourteen million, five hundred forty-five thousand, thirteen".

Divisors: 1 3 9 11 33 99 857 887 2571 2661 7193 7713 7983 9427 9757 21579 28281 29271 64737 79123 84843 87813 237369 712107 760159 2280477 6164401 6380191 6841431 8361749 18493203 19140573 25085247 55479609 57421719 67808411 70182101 75255741 203425233 210546303 610275699 631638909 5467823687 16403471061 49210413183 60146060557 180438181671 541314545013