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89990868629760 = 283573347874577
BaseRepresentation
bin10100011101100010100001…
…110000011111100100000000
3102210122001011100210121100120
4110131202201300133210000
543243402244332123020
6515221122340420240
724645424421225160
oct2435424160374400
9383561140717316
1089990868629760
1126745a0531458a
12a1149bb9a7680
133b2a144262087
14183181d0725a0
15a60d07da0740
hex51d8a1c1f900

89990868629760 has 144 divisors (see below), whose sum is σ = 328466670596736. Its totient is φ = 20569341394944.

The previous prime is 89990868629743. The next prime is 89990868629777. The reversal of 89990868629760 is 6792686809998.

It is an interprime number because it is at equal distance from previous prime (89990868629743) and next prime (89990868629777).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1673910409 + ... + 1673964168.

Almost surely, 289990868629760 is an apocalyptic number.

89990868629760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89990868629760 is an abundant number, since it is smaller than the sum of its proper divisors (238475801966976).

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

89990868629760 is a wasteful number, since it uses less digits than its factorization.

89990868629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347874608 (or 3347874594 counting only the distinct ones).

The product of its (nonzero) digits is 10158317568, while the sum is 87.

The spelling of 89990868629760 in words is "eighty-nine trillion, nine hundred ninety billion, eight hundred sixty-eight million, six hundred twenty-nine thousand, seven hundred sixty".

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 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 3347874577 6695749154 10043623731 13391498308 16739372885 20087247462 23435122039 26782996616 33478745770 40174494924 46870244078 50218118655 53565993232 66957491540 70305366117 80348989848 93740488156 100436237310 107131986464 117175610195 133914983080 140610732234 160697979696 187480976312 200872474620 214263972928 234351220390 267829966160 281221464468 321395959392 351526830585 374961952624 401744949240 428527945856 468702440780 535659932320 562442928936 642791918784 703053661170 749923905248 803489898480 857055891712 937404881560 1071319864640 1124885857872 1285583837568 1406107322340 1499847810496 1606979796960 1874809763120 2142639729280 2249771715744 2571167675136 2812214644680 2999695620992 3213959593920 3749619526240 4285279458560 4499543431488 5624429289360 5999391241984 6427919187840 7499239052480 8999086862976 11248858578720 12855838375680 14998478104960 17998173725952 22497717157440 29996956209920 44995434314880 89990868629760