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506105253336 = 23323916857343
BaseRepresentation
bin1110101110101100011…
…10010100110111011000
31210101100100022201100110
413113112032110313120
531243000421101321
61024300200004320
751364521446634
oct7272616246730
91711310281313
10506105253336
11185702248711
12821057606a0
1338957c79507
141a6d1dcddc4
15d271b0c176
hex75d6394dd8

506105253336 has 32 divisors (see below), whose sum is σ = 1320274575360. Its totient is φ = 161366892192.

The previous prime is 506105253299. The next prime is 506105253337. The reversal of 506105253336 is 633352501605.

It is a super-2 number, since 2×5061052533362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506105253294 and 506105253303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506105253337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458428120 + ... + 458429223.

It is an arithmetic number, because the mean of its divisors is an integer number (41258580480).

Almost surely, 2506105253336 is an apocalyptic number.

It is an amenable number.

506105253336 is an abundant number, since it is smaller than the sum of its proper divisors (814169322024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506105253336 is a wasteful number, since it uses less digits than its factorization.

506105253336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916857375 (or 916857371 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 506105253336 in words is "five hundred six billion, one hundred five million, two hundred fifty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 916857343 1833714686 2750572029 3667429372 5501144058 7334858744 11002288116 21087718889 22004576232 42175437778 63263156667 84350875556 126526313334 168701751112 253052626668 506105253336