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505555524342 = 2321116319182013
BaseRepresentation
bin1110101101101010111…
…01010001101011110110
31210022221000220120221100
413112311131101223312
531240334203234332
61024125441230530
751345065024331
oct7266535215366
91708830816840
10505555524342
1118544aa06130
1281b91632446
133889b10249b
141a67cdb1618
15d23d71e67c
hex75b5751af6

505555524342 has 96 divisors (see below), whose sum is σ = 1208589797376. Its totient is φ = 151459761600.

The previous prime is 505555524337. The next prime is 505555524373. The reversal of 505555524342 is 243425555505.

505555524342 is a `hidden beast` number, since 5 + 0 + 5 + 55 + 552 + 4 + 3 + 42 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6123328 + ... + 6205340.

It is an arithmetic number, because the mean of its divisors is an integer number (12589477056).

Almost surely, 2505555524342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505555524342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604294898688).

505555524342 is an abundant number, since it is smaller than the sum of its proper divisors (703034273034).

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

505555524342 is a wasteful number, since it uses less digits than its factorization.

505555524342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82386 (or 82383 counting only the distinct ones).

The product of its (nonzero) digits is 3000000, while the sum is 45.

The spelling of 505555524342 in words is "five hundred five billion, five hundred fifty-five million, five hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 191 198 326 382 489 573 978 1146 1467 1719 1793 2101 2934 3438 3586 4202 5379 6303 10758 12606 16137 18909 31133 32274 37818 62266 82013 93399 164026 186798 246039 280197 342463 492078 560394 684926 738117 902143 1027389 1476234 1804286 2054778 2706429 3082167 5412858 6164334 8119287 13368119 15664483 16238574 26736238 31328966 40104357 46993449 80208714 93986898 120313071 140980347 147049309 172309313 240626142 281960694 294098618 344618626 441147927 516927939 882295854 1033855878 1323443781 1550783817 2553310729 2646887562 3101567634 5106621458 7659932187 15319864374 22979796561 28086418019 45959593122 56172836038 84259254057 168518508114 252777762171 505555524342