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505556312316 = 2231119286170457
BaseRepresentation
bin1110101101101011000…
…00010010000011111100
31210022221002101121211120
413112311200102003330
531240334403443231
61024125510150540
751345104515536
oct7266540220374
91708832347746
10505556312316
111854503a4150
1281b91952450
133889b31a043
141a67d138856
15d23d827d96
hex75b58120fc

505556312316 has 96 divisors (see below), whose sum is σ = 1355093349120. Its totient is φ = 145082995200.

The previous prime is 505556312299. The next prime is 505556312333. The reversal of 505556312316 is 613213655505.

It is an interprime number because it is at equal distance from previous prime (505556312299) and next prime (505556312333).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7140160 + ... + 7210616.

It is an arithmetic number, because the mean of its divisors is an integer number (14115555720).

Almost surely, 2505556312316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505556312316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677546674560).

505556312316 is an abundant number, since it is smaller than the sum of its proper divisors (849537036804).

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

505556312316 is a wasteful number, since it uses less digits than its factorization.

505556312316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73355 (or 73353 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 505556312316 in words is "five hundred five billion, five hundred fifty-six million, three hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 2861 5722 8583 11444 17166 31471 34332 54359 62942 70457 94413 108718 125884 140914 163077 188826 211371 217436 281828 326154 377652 422742 597949 652308 775027 845484 1195898 1338683 1550054 1793847 2325081 2391796 2677366 3100108 3587694 4016049 4650162 5354732 7175388 8032098 9300324 14725513 16064196 29451026 44176539 58902052 88353078 176706156 201577477 403154954 604732431 806309908 1209464862 2217352247 2418929724 3829972063 4434704494 6652056741 7659944126 8869408988 11489916189 13304113482 15319888252 22979832378 26608226964 42129692693 45959664756 84259385386 126389078079 168518770772 252778156158 505556312316