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89342827548 = 223131723315987
BaseRepresentation
bin101001100110100111…
…1110101110000011100
322112121110021212222220
41103031033311300130
52430433230440143
6105013222505340
76311666334612
oct1231517656034
9275543255886
1089342827548
1134987773767
1215394895250
13856a929740
1444779116b2
1524cd818d83
hex14cd3f5c1c

89342827548 has 144 divisors (see below), whose sum is σ = 239245797504. Its totient is φ = 25790561280.

The previous prime is 89342827543. The next prime is 89342827571. The reversal of 89342827548 is 84572824398.

It is a junction number, because it is equal to n+sod(n) for n = 89342827491 and 89342827500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89342827543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14919811 + ... + 14925797.

Almost surely, 289342827548 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 89342827548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119622898752).

89342827548 is an abundant number, since it is smaller than the sum of its proper divisors (149902969956).

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

89342827548 is a wasteful number, since it uses less digits than its factorization.

89342827548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372 (or 6353 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The spelling of 89342827548 in words is "eighty-nine billion, three hundred forty-two million, eight hundred twenty-seven thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 289 331 442 578 662 663 867 884 993 1156 1324 1326 1734 1986 2652 3468 3757 3972 4303 5627 5987 7514 8606 11254 11271 11974 12909 15028 16881 17212 17961 22508 22542 23948 25818 33762 35922 45084 51636 67524 71844 73151 77831 95659 101779 146302 155662 191318 203558 219453 233493 286977 292604 305337 311324 382636 407116 438906 466986 573954 610674 877812 933972 1147908 1221348 1243567 1323127 1730243 1981697 2487134 2646254 3460486 3730701 3963394 3969381 4974268 5190729 5292508 5945091 6920972 7461402 7926788 7938762 10381458 11890182 14922804 15877524 20762916 22493159 23780364 25762061 33688849 44986318 51524122 67377698 67479477 77286183 89972636 101066547 103048244 134755396 134958954 154572366 202133094 269917908 309144732 404266188 437955037 572710433 875910074 1145420866 1313865111 1718131299 1751820148 2290841732 2627730222 3436262598 5255460444 6872525196 7445235629 14890471258 22335706887 29780942516 44671413774 89342827548