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512405332232341 = 1979967353025823
BaseRepresentation
bin111010010000001111010100…
…1110011110000100010010101
32111012021110201121202120212111
41310200132221303300202111
51014130222110022413331
65013443432052151021
7212634030544212202
oct16440365163604225
92435243647676774
10512405332232341
111392a4976736059
1249577705008471
1318cbb800325372
14907679c462ca9
153e38c8a3e7db1
hex1d207a9cf0895

512405332232341 has 16 divisors (see below), whose sum is σ = 546766396211200. Its totient is φ = 478796213449008.

The previous prime is 512405332232281. The next prime is 512405332232351. The reversal of 512405332232341 is 143232233504215.

It is a cyclic number.

It is not a de Polignac number, because 512405332232341 - 217 = 512405332101269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 512405332232294 and 512405332232303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512405332232351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 175061445 + ... + 177964378.

It is an arithmetic number, because the mean of its divisors is an integer number (34172899763200).

Almost surely, 2512405332232341 is an apocalyptic number.

It is an amenable number.

512405332232341 is a deficient number, since it is larger than the sum of its proper divisors (34361063978859).

512405332232341 is a wasteful number, since it uses less digits than its factorization.

512405332232341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353026888.

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 512405332232341 its reverse (143232233504215), we get a palindrome (655637565736556).

The spelling of 512405332232341 in words is "five hundred twelve trillion, four hundred five billion, three hundred thirty-two million, two hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 19 79 967 1501 18373 76393 1451467 353025823 6707490637 27889040017 341375970841 529891760323 6486143445979 26968701696439 512405332232341