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89497141440 = 2635713318027
BaseRepresentation
bin101001101011001110…
…0100000000011000000
322120000012122211212020
41103112130200003000
52431242232011230
6105040414201440
76315552102420
oct1232634400300
9276005584766
1089497141440
1134a56892003
12154184b3280
1385938a9035
144490200480
1524dc14b810
hex14d67200c0

89497141440 has 112 divisors (see below), whose sum is σ = 324746794752. Its totient is φ = 20456487936.

The previous prime is 89497141439. The next prime is 89497141571. The reversal of 89497141440 is 4414179498.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652294 + ... + 6665733.

Almost surely, 289497141440 is an apocalyptic number.

89497141440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89497141440 is an abundant number, since it is smaller than the sum of its proper divisors (235249653312).

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

89497141440 is a wasteful number, since it uses less digits than its factorization.

89497141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318054 (or 13318044 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 89497141440 in words is "eighty-nine billion, four hundred ninety-seven million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 13318027 26636054 39954081 53272108 66590135 79908162 93226189 106544216 133180270 159816324 186452378 199770405 213088432 266360540 279678567 319632648 372904756 399540810 426176864 466130945 532721080 559357134 639265296 745809512 799081620 852353728 932261890 1065442160 1118714268 1278530592 1398392835 1491619024 1598163240 1864523780 2130884320 2237428536 2557061184 2796785670 2983238048 3196326480 3729047560 4261768640 4474857072 5593571340 5966476096 6392652960 7458095120 8949714144 11187142680 12785305920 14916190240 17899428288 22374285360 29832380480 44748570720 89497141440