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85832583308000 = 255329739936063
BaseRepresentation
bin10011100001000001110100…
…101000110110001011100000
3102020220111220022100102202222
4103201001310220312023200
542222240112311324000
6502314535554530212
724036125300203544
oct2341016450661340
9366814808312688
1085832583308000
1125392437698a11
129762b1a596968
1338b7c93515349
14172a467c45a24
159dca80c5aa85
hex4e1074a362e0

85832583308000 has 96 divisors (see below), whose sum is σ = 218162749109760. Its totient is φ = 33149135577600.

The previous prime is 85832583307997. The next prime is 85832583308009. The reversal of 85832583308000 is 80338523858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85832583308009) by changing a digit.

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, 369852032 + ... + 370084031.

It is an arithmetic number, because the mean of its divisors is an integer number (2272528636560).

Almost surely, 285832583308000 is an apocalyptic number.

85832583308000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85832583308000 is an abundant number, since it is smaller than the sum of its proper divisors (132330165801760).

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

85832583308000 is a wasteful number, since it uses less digits than its factorization.

85832583308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739936117 (or 739936099 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 53.

The spelling of 85832583308000 in words is "eighty-five trillion, eight hundred thirty-two billion, five hundred eighty-three million, three hundred eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 739936063 1479872126 2959744252 3699680315 5919488504 7399360630 11838977008 14798721260 18498401575 21458145827 23677954016 29597442520 36996803150 42916291654 59194885040 73993606300 85832583308 92492007875 107290729135 118389770080 147987212600 171665166616 184984015750 214581458270 295974425200 343330333232 369968031500 429162916540 536453645675 591948850400 686660666464 739936063000 858325833080 1072907291350 1479872126000 1716651666160 2145814582700 2682268228375 2959744252000 3433303332320 4291629165400 5364536456750 8583258330800 10729072913500 17166516661600 21458145827000 42916291654000 85832583308000