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505341404405532 = 223341711607381339
BaseRepresentation
bin111001011100110101111011…
…0111001100101111100011100
32110021021011111100022112022000
41302321223312321211330130
51012214003144011434112
64550434345235322300
7211304466043325112
oct16271536671457434
92407234440275260
10505341404405532
111370210a46222a2
1248816671a50390
13188c864a59aba6
148cb0923c4dab2
153d6515272a7dc
hex1cb9af6e65f1c

505341404405532 has 96 divisors (see below), whose sum is σ = 1361001928204800. Its totient is φ = 162024038870400.

The previous prime is 505341404405501. The next prime is 505341404405543. The reversal of 505341404405532 is 235504404143505.

505341404405532 is a `hidden beast` number, since 5 + 0 + 5 + 34 + 1 + 40 + 4 + 40 + 5 + 532 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803376282 + ... + 804005057.

It is an arithmetic number, because the mean of its divisors is an integer number (14177103418800).

Almost surely, 2505341404405532 is an apocalyptic number.

It is an amenable number.

505341404405532 is an abundant number, since it is smaller than the sum of its proper divisors (855660523799268).

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

505341404405532 is a wasteful number, since it uses less digits than its factorization.

505341404405532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607381464 (or 1607381456 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 505341404405532 in words is "five hundred five trillion, three hundred forty-one billion, four hundred four million, four hundred five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 71 82 108 123 142 164 213 246 284 369 426 492 639 738 852 1107 1278 1476 1917 2214 2556 2911 3834 4428 5822 7668 8733 11644 17466 26199 34932 52398 78597 104796 157194 314388 1607381339 3214762678 4822144017 6429525356 9644288034 14466432051 19288576068 28932864102 43399296153 57865728204 65902634899 86798592306 114124075069 131805269798 173597184612 197707904697 228248150138 263610539596 342372225207 395415809394 456496300276 593123714091 684744450414 790831618788 1027116675621 1186247428182 1369488900828 1779371142273 2054233351242 2372494856364 3081350026863 3558742284546 4108466702484 4679087077829 6162700053726 7117484569092 9358174155658 12325400107452 14037261233487 18716348311316 28074522466974 42111783700461 56149044933948 84223567400922 126335351101383 168447134801844 252670702202766 505341404405532