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541886688145 = 51144386325771
BaseRepresentation
bin1111110001010101111…
…01101010101110010001
31220210201000101221022201
413320222331222232101
532334240443010040
61052534520203201
754102312564565
oct7705275525621
91823630357281
10541886688145
111998a39aa240
1289030909501
133c13b052a4a
141c3281d16a5
15e168098a9a
hex7e2af6ab91

541886688145 has 32 divisors (see below), whose sum is σ = 711831711744. Its totient is φ = 392738923200.

The previous prime is 541886688137. The next prime is 541886688151.

541886688145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541886688145 - 23 = 541886688137 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21014110 + ... + 21039880.

It is an arithmetic number, because the mean of its divisors is an integer number (22244740992).

Almost surely, 2541886688145 is an apocalyptic number.

541886688145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541886688145 is a deficient number, since it is larger than the sum of its proper divisors (169945023599).

541886688145 is a wasteful number, since it uses less digits than its factorization.

541886688145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27093.

The product of its digits is 58982400, while the sum is 64.

The spelling of 541886688145 in words is "five hundred forty-one billion, eight hundred eighty-six million, six hundred eighty-eight thousand, one hundred forty-five".

Divisors: 1 5 11 55 443 863 2215 4315 4873 9493 24365 25771 47465 128855 283481 382309 1417405 1911545 4205399 11416553 21026995 22240373 57082765 111201865 125582083 244644103 627910415 1223220515 9852485239 49262426195 108377337629 541886688145