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523344121443325 = 52713455035055521
BaseRepresentation
bin111011011111110101000110…
…0011101000011001111111101
32112122000012122122112000011001
41312333222030131003033331
51022043432230042141300
65053020545332130301
7215143236126315640
oct16677521435031775
92478005578460131
10523344121443325
11141831aa5002226
124a84371b466991
13196031a61bb020
149333dc2407a57
1540785acdd216a
hex1dbfa8c7433fd

523344121443325 has 48 divisors (see below), whose sum is σ = 798721354561536. Its totient is φ = 331252230297600.

The previous prime is 523344121443313. The next prime is 523344121443331.

523344121443325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523344121443325 - 211 = 523344121441277 is a prime.

It is a super-3 number, since 3×5233441214433253 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100991565 + ... + 106047085.

It is an arithmetic number, because the mean of its divisors is an integer number (16640028220032).

Almost surely, 2523344121443325 is an apocalyptic number.

It is an amenable number.

523344121443325 is a deficient number, since it is larger than the sum of its proper divisors (275377233118211).

523344121443325 is a wasteful number, since it uses less digits than its factorization.

523344121443325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101054 (or 5101049 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 46.

The spelling of 523344121443325 in words is "five hundred twenty-three trillion, three hundred forty-four billion, one hundred twenty-one million, four hundred forty-three thousand, three hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 175 325 455 2275 45503 227515 318521 591539 1137575 1592605 2957695 4140773 5055521 7963025 14788475 20703865 25277605 35388647 65721773 103519325 126388025 176943235 328608865 460052411 884716175 1643044325 2300262055 11501310275 230041372063 1150206860315 1610289604441 2990537836819 5751034301575 8051448022205 14952689184095 20933764857733 40257240111025 74763445920475 104668824288665 523344121443325