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85210548930120 = 23358327077315961
BaseRepresentation
bin10011010111111110100000…
…100000000000011001001000
3102011201001022122221000020010
4103113332200200000121020
542132042201011230440
6501121104043231520
723643154560216015
oct2327764040003110
9364631278830203
1085210548930120
1125172655489169
1296824605185a0
13387142188a323
1417082d943270c
159cb7c676d580
hex4d7fa0800648

85210548930120 has 128 divisors (see below), whose sum is σ = 258721919648640. Its totient is φ = 22448144087040.

The previous prime is 85210548930107. The next prime is 85210548930139. The reversal of 85210548930120 is 2103984501258.

It is a super-3 number, since 3×852105489301203 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85210548930120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269528940 + ... + 269844900.

It is an arithmetic number, because the mean of its divisors is an integer number (2021264997255).

Almost surely, 285210548930120 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 85210548930120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129360959824320).

85210548930120 is an abundant number, since it is smaller than the sum of its proper divisors (173511370718520).

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

85210548930120 is a wasteful number, since it uses less digits than its factorization.

85210548930120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343135 (or 343131 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 85210548930120 in words is "eighty-five trillion, two hundred ten billion, five hundred forty-eight million, nine hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 27077 54154 81231 108308 135385 162462 216616 270770 315961 324924 406155 541540 631922 649848 812310 947883 1083080 1263844 1579805 1624620 1895766 2247391 2527688 3159610 3249240 3791532 4494782 4739415 6319220 6742173 7583064 8989564 9478830 11236955 12638440 13484346 17979128 18957660 22473910 26224763 26968692 33710865 37915320 44947820 52449526 53937384 67421730 78674289 89895640 104899052 131123815 134843460 157348578 209798104 262247630 269686920 314697156 393371445 524495260 629394312 786742890 1048990520 1573485780 3146971560 8555275997 17110551994 25665827991 34221103988 42776379985 51331655982 68442207976 85552759970 102663311964 128329139955 171105519940 205326623928 256658279910 342211039880 513316559820 710087907751 1026633119640 1420175815502 2130263723253 2840351631004 3550439538755 4260527446506 5680703262008 7100879077510 8521054893012 10651318616265 14201758155020 17042109786024 21302637232530 28403516310040 42605274465060 85210548930120