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506077060141343 = 22958734611087781
BaseRepresentation
bin111001100010001100011111…
…1011001100001000100011111
32110100212111100110100222101202
41303010120333121201010133
51012313031304344010333
64552200331503030115
7211411601220031145
oct16304307731410437
92410774313328352
10506077060141343
11137285092058a49
124891515b59b33b
131894cb28a70452
148cd8390795595
153d7935bbe05e8
hex1cc463f66111f

506077060141343 has 16 divisors (see below), whose sum is σ = 509300489648160. Its totient is φ = 502862941430400.

The previous prime is 506077060141313. The next prime is 506077060141361. The reversal of 506077060141343 is 343141060770605.

It is a cyclic number.

It is not a de Polignac number, because 506077060141343 - 212 = 506077060137247 is a prime.

It is a super-2 number, since 2×5060770601413432 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506077060141313) 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, 464694113 + ... + 465781893.

It is an arithmetic number, because the mean of its divisors is an integer number (31831280603010).

Almost surely, 2506077060141343 is an apocalyptic number.

506077060141343 is a deficient number, since it is larger than the sum of its proper divisors (3223429506817).

506077060141343 is a wasteful number, since it uses less digits than its factorization.

506077060141343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092058.

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 506077060141343 in words is "five hundred six trillion, seventy-seven billion, sixty million, one hundred forty-one thousand, three hundred forty-three".

Divisors: 1 229 587 3461 134423 792569 1087781 2031607 249101849 465238003 638527447 3764810041 146222785363 862141499389 2209943494067 506077060141343