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505505554614 = 232193157378311
BaseRepresentation
bin1110101101100100111…
…10101010000010110110
31210022210112212212100200
413112302132222002312
531240233410221424
61024120454221330
751343620214104
oct7266236520266
91708715785320
10505505554614
11185424786135
1281b78954846
1338890957ab8
141a6764c4c74
15d23914d8c9
hex75b27aa0b6

505505554614 has 96 divisors (see below), whose sum is σ = 1190448629760. Its totient is φ = 154438358400.

The previous prime is 505505554607. The next prime is 505505554639. The reversal of 505505554614 is 416455505505.

It is a happy number.

505505554614 is a `hidden beast` number, since 5 + 0 + 5 + 50 + 55 + 546 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 505505554614.

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, 60819519 + ... + 60827829.

It is an arithmetic number, because the mean of its divisors is an integer number (12400506560).

Almost surely, 2505505554614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505505554614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595224314880).

505505554614 is an abundant number, since it is smaller than the sum of its proper divisors (684943075146).

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

505505554614 is a wasteful number, since it uses less digits than its factorization.

505505554614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106 (or 14103 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 45.

The spelling of 505505554614 in words is "five hundred five billion, five hundred five million, five hundred fifty-four thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 5737 8311 10602 11474 16622 17211 24933 34422 49866 51633 74799 103266 109003 149598 157909 177847 218006 257641 315818 327009 355694 473727 515282 533541 654018 772923 947454 981027 1067082 1421181 1545846 1600623 1962054 2318769 2842362 3201246 3379093 4637538 4895179 6758186 9790358 10137279 14685537 20274558 29371074 30411837 44056611 47680207 60823674 88113222 95360414 143040621 286081242 429121863 858243726 905923933 1478086417 1811847866 2717771799 2956172834 4434259251 5435543598 8153315397 8868518502 13302777753 16306630794 26605555506 28083641923 56167283846 84250925769 168501851538 252752777307 505505554614