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523834438325 = 52117924112057
BaseRepresentation
bin1111001111101101111…
…01110011001010110101
31212002002220220122000112
413213312331303022311
532040303104011300
61040351325552405
752563051154622
oct7476675631265
91762086818015
10523834438325
1119217a97a810
1285633115705
133a52205a013
141b4d4883349
15d95d31de35
hex79f6f732b5

523834438325 has 24 divisors (see below), whose sum is σ = 717574846080. Its totient is φ = 376148073600.

The previous prime is 523834438301. The next prime is 523834438327.

523834438325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 523834438325 - 26 = 523834438261 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523834438327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12034304 + ... + 12077753.

It is an arithmetic number, because the mean of its divisors is an integer number (29898951920).

Almost surely, 2523834438325 is an apocalyptic number.

523834438325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

523834438325 is a deficient number, since it is larger than the sum of its proper divisors (193740407755).

523834438325 is a wasteful number, since it uses less digits than its factorization.

523834438325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24112157 (or 24112152 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

The spelling of 523834438325 in words is "five hundred twenty-three billion, eight hundred thirty-four million, four hundred thirty-eight thousand, three hundred twenty-five".

Divisors: 1 5 11 25 55 79 275 395 869 1975 4345 21725 24112057 120560285 265232627 602801425 1326163135 1904852503 6630815675 9524262515 20953377533 47621312575 104766887665 523834438325