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541416464221 = 29277415316229
BaseRepresentation
bin1111110000011101110…
…11111001111101011101
31220202111020121002100211
413320032323321331131
532332310103323341
61052420121452421
754054543004423
oct7701673717535
91822436532324
10541416464221
11199682530026
1288b1b341111
133c0947c4a39
141c2c198b113
15e13bb63181
hex7e0eef9f5d

541416464221 has 16 divisors (see below), whose sum is σ = 562277962800. Its totient is φ = 520702253568.

The previous prime is 541416464179. The next prime is 541416464231. The reversal of 541416464221 is 122464614145.

It can be written as a sum of positive squares in 8 ways, for example, as 19337961721 + 522078502500 = 139061^2 + 722550^2 .

It is a cyclic number.

It is not a de Polignac number, because 541416464221 - 215 = 541416431453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541416464231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33352935 + ... + 33369163.

It is an arithmetic number, because the mean of its divisors is an integer number (35142372675).

Almost surely, 2541416464221 is an apocalyptic number.

It is an amenable number.

541416464221 is a deficient number, since it is larger than the sum of its proper divisors (20861498579).

541416464221 is a wasteful number, since it uses less digits than its factorization.

541416464221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20688.

The product of its digits is 184320, while the sum is 40.

The spelling of 541416464221 in words is "five hundred forty-one billion, four hundred sixteen million, four hundred sixty-four thousand, two hundred twenty-one".

Divisors: 1 29 277 4153 8033 16229 120437 470641 1150381 4495433 33361049 67399037 130367557 1954572073 18669533249 541416464221