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541051342461 = 32730727974321
BaseRepresentation
bin1111101111110010010…
…11000100111001111101
31220201112210112222110200
413313321023010321331
532331033120424321
61052315555554113
754042520346460
oct7677113047175
91821483488420
10541051342461
11199505417703
1288a38bbb939
133c036c75966
141c2892a52d7
15e119a8dd26
hex7df92c4e7d

541051342461 has 24 divisors (see below), whose sum is σ = 896073482304. Its totient is φ = 308165109120.

The previous prime is 541051342399. The next prime is 541051342501. The reversal of 541051342461 is 164243150145.

541051342461 is a `hidden beast` number, since 5 + 41 + 0 + 513 + 42 + 4 + 61 = 666.

It is not a de Polignac number, because 541051342461 - 234 = 523871473277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541051342561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13967820 + ... + 14006501.

It is an arithmetic number, because the mean of its divisors is an integer number (37336395096).

Almost surely, 2541051342461 is an apocalyptic number.

It is an amenable number.

541051342461 is a deficient number, since it is larger than the sum of its proper divisors (355022139843).

541051342461 is a wasteful number, since it uses less digits than its factorization.

541051342461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27974641 (or 27974638 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 541051342461 in words is "five hundred forty-one billion, fifty-one million, three hundred forty-two thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 63 307 921 2149 2763 6447 19341 27974321 83922963 195820247 251768889 587460741 1762382223 8588116547 25764349641 60116815829 77293048923 180350447487 541051342461