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85310529120 = 25325232575801
BaseRepresentation
bin100111101110011100…
…1110101111001100000
322011012102210220102200
41033130321311321200
52344203443412440
6103105140413200
76110034350535
oct1173471657140
9264172726380
1085310529120
11331a862a223
121464a3a7200
138077409b3b
1441b4190d8c
152344813c30
hex13dce75e60

85310529120 has 144 divisors (see below), whose sum is σ = 303779784672. Its totient is φ = 21760358400.

The previous prime is 85310529091. The next prime is 85310529121. The reversal of 85310529120 is 2192501358.

85310529120 is a `hidden beast` number, since 8 + 5 + 3 + 1 + 0 + 529 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85310529121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254781 + ... + 1321020.

It is an arithmetic number, because the mean of its divisors is an integer number (2109581838).

Almost surely, 285310529120 is an apocalyptic number.

85310529120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85310529120 is an abundant number, since it is smaller than the sum of its proper divisors (218469255552).

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

85310529120 is a wasteful number, since it uses less digits than its factorization.

85310529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575845 (or 2575834 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 85310529120 in words is "eighty-five billion, three hundred ten million, five hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 2575801 5151602 7727403 10303204 12879005 15454806 20606408 23182209 25758010 30909612 38637015 41212816 46364418 51516020 59243423 61819224 77274030 82425632 92728836 103032040 115911045 118486846 123638448 154548060 177730269 185457672 206064080 231822090 236973692 247276896 296217115 309096120 355460538 370915344 412128160 463644180 473947384 533190807 592434230 618192240 710921076 741830688 888651345 927288360 947894768 1066381614 1184868460 1236384480 1421842152 1777302690 1854576720 1895789536 2132763228 2369736920 2665954035 2843684304 3554605380 3709153440 4265526456 4739473840 5331908070 5687368608 7109210760 8531052912 9478947680 10663816140 14218421520 17062105824 21327632280 28436843040 42655264560 85310529120