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5409814086768 = 2437131379040223
BaseRepresentation
bin100111010111001001000…
…0011000000010001110000
3201011011200020121202112010
41032232102003000101300
51202113244401234033
615301122334402520
71065563144011050
oct116562203002160
921134606552463
105409814086768
1117a6320022573
1273455b960440
133031b2a28530
14149b9d115560
1595ac5a02863
hex4eb920c0470

5409814086768 has 160 divisors (see below), whose sum is σ = 17325987065856. Its totient is φ = 1416349661184.

The previous prime is 5409814086707. The next prime is 5409814086779. The reversal of 5409814086768 is 8676804189045.

It is a junction number, because it is equal to n+sod(n) for n = 5409814086699 and 5409814086708.

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, 3921696 + ... + 5118527.

Almost surely, 25409814086768 is an apocalyptic number.

It is an amenable number.

5409814086768 is an abundant number, since it is smaller than the sum of its proper divisors (11916172979088).

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

5409814086768 is a wasteful number, since it uses less digits than its factorization.

5409814086768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9040391 (or 9040385 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 5409814086768 in words is "five trillion, four hundred nine billion, eight hundred fourteen million, eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 137 156 168 182 208 273 274 312 336 364 411 546 548 624 728 822 959 1092 1096 1456 1644 1781 1918 2184 2192 2877 3288 3562 3836 4368 5343 5754 6576 7124 7672 10686 11508 12467 14248 15344 21372 23016 24934 28496 37401 42744 46032 49868 74802 85488 99736 149604 199472 299208 598416 9040223 18080446 27120669 36160892 54241338 63281561 72321784 108482676 117522899 126563122 144643568 189844683 216965352 235045798 253126244 352568697 379689366 433930704 470091596 506252488 705137394 759378732 822660293 940183192 1012504976 1238510551 1410274788 1518757464 1645320586 1880366384 2467980879 2477021102 2820549576 3037514928 3290641172 3715531653 4935961758 4954042204 5641099152 6581282344 7431063306 8669573857 9871923516 9908084408 13162564688 14862126612 16100637163 17339147714 19743847032 19816168816 26008721571 29724253224 32201274326 34678295428 39487694064 48301911489 52017443142 59448506448 64402548652 69356590856 96603822978 104034886284 112704460141 128805097304 138713181712 193207645956 208069772568 225408920282 257610194608 338113380423 386415291912 416139545136 450817840564 676226760846 772830583824 901635681128 1352453521692 1803271362256 2704907043384 5409814086768