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546120121021645 = 55928340116313057
BaseRepresentation
bin111110000101100010111111…
…1110100010111010011001101
32122121122120111012221100121211
41330023011333310113103031
51033040113001440143040
65213300041535254421
7223013606463413032
oct17413057764272315
92577576435840554
10546120121021645
11149013273aa37a5
12513018a367a411
131a595ba2599531
1498c04d7b71389
154320c86eb18ea
hex1f0b17fd174cd

546120121021645 has 32 divisors (see below), whose sum is σ = 670474514067840. Its totient is φ = 426906150297600.

The previous prime is 546120121021609. The next prime is 546120121021679.

546120121021645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 546120121021645 - 29 = 546120121021133 is a prime.

It is a super-3 number, since 3×5461201210216453 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 546120121021598 and 546120121021607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25320957 + ... + 41634013.

It is an arithmetic number, because the mean of its divisors is an integer number (20952328564620).

Almost surely, 2546120121021645 is an apocalyptic number.

It is an amenable number.

546120121021645 is a deficient number, since it is larger than the sum of its proper divisors (124354393046195).

546120121021645 is a wasteful number, since it uses less digits than its factorization.

546120121021645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313805.

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 546120121021645 in words is "five hundred forty-six trillion, one hundred twenty billion, one hundred twenty-one million, twenty-one thousand, six hundred forty-five".

Divisors: 1 5 59 283 295 401 1415 2005 16697 23659 83485 113483 118295 567415 6695497 16313057 33477485 81565285 962470363 4616595131 4812351815 6541535857 23082975655 32707679285 272379112729 385950615563 1361895563645 1851254647531 1929753077815 9256273237655 109224024204329 546120121021645