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845075321697978 = 23474731150982851
BaseRepresentation
bin1100000000100101110110111…
…0010110111011011010111010
311002211011102010011122002010000
43000021131232112323122322
51341231203224323313403
612153154124320133430
7343000451161401030
oct30011355626733272
94084142104562100
10845075321697978
112252a3482037398
127a945313467276
132a370351257777
1410c97c1440c550
1567a75360aa7a3
hex300976e5bb6ba

845075321697978 has 160 divisors (see below), whose sum is σ = 2217259732267008. Its totient is φ = 235553002884000.

The previous prime is 845075321697869. The next prime is 845075321698031. The reversal of 845075321697978 is 879796123570548.

845075321697978 is a `hidden beast` number, since 8 + 4 + 5 + 0 + 7 + 532 + 1 + 6 + 9 + 7 + 9 + 78 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 845075321697897 and 845075321697906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8915748 + ... + 42067103.

It is a 1-persistent number, because it is pandigital, but 2⋅845075321697978 = 1690150643395956 is not.

Almost surely, 2845075321697978 is an apocalyptic number.

845075321697978 is an abundant number, since it is smaller than the sum of its proper divisors (1372184410569030).

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

845075321697978 is a wasteful number, since it uses less digits than its factorization.

845075321697978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50983230 (or 50983221 counting only the distinct ones).

The product of its (nonzero) digits is 6401203200, while the sum is 81.

The spelling of 845075321697978 in words is "eight hundred forty-five trillion, seventy-five billion, three hundred twenty-one million, six hundred ninety-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 189 282 311 329 378 423 567 622 658 846 933 987 1134 1269 1866 1974 2177 2538 2799 2961 3807 4354 5598 5922 6531 7614 8397 8883 13062 14617 16794 17766 19593 25191 26649 29234 39186 43851 50382 53298 58779 87702 102319 117558 131553 176337 204638 263106 306957 352674 394659 613914 789318 920871 1183977 1841742 2367954 2762613 5525226 8287839 16575678 50982851 101965702 152948553 305897106 356879957 458845659 713759914 917691318 1070639871 1376536977 2141279742 2396193997 2753073954 3211919613 4129610931 4792387994 6423839226 7188581991 8259221862 9635758839 14377163982 15855666661 16773357979 19271517678 21565745973 28907276517 31711333322 33546715958 43131491946 47566999983 50320073937 57814553034 64697237919 95133999966 100640147874 110989666627 129394475838 142700999949 150960221811 194091713757 221979333254 285401999898 301920443622 332968999881 388183427514 428102999847 452880665433 665937999762 745216333067 856205999694 905761330866 998906999643 1284308999541 1358641996299 1490432666134 1997813999286 2235648999201 2568617999082 2717283992598 2996720998929 4471297998402 5216514331469 5993441997858 6706946997603 8990162996787 10433028662938 13413893995206 15649542994407 17980325993574 20120840992809 31299085988814 40241681985618 46948628983221 60362522978427 93897257966442 120725045956854 140845886949663 281691773899326 422537660848989 845075321697978