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85317302741310 = 23353832789295819
BaseRepresentation
bin10011011001100001111011…
…100001011110100100111110
3102012002020212112001111201000
4103121201323201132210332
542140314314000210220
6501242121112031130
723653654203514113
oct2331417341364476
9365066775044630
1085317302741310
11252039571a8602
12969b0940924a6
13387b505695c43
14170d54544690a
159ce473892390
hex4d987b85e93e

85317302741310 has 128 divisors (see below), whose sum is σ = 228189394944000. Its totient is φ = 22683665022336.

The previous prime is 85317302741243. The next prime is 85317302741323. The reversal of 85317302741310 is 1314720371358.

85317302741310 is a `hidden beast` number, since 8 + 5 + 31 + 7 + 30 + 274 + 1 + 310 = 666.

It is a super-2 number, since 2×853173027413102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288262581 + ... + 288558399.

It is an arithmetic number, because the mean of its divisors is an integer number (1782729648000).

Almost surely, 285317302741310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85317302741310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114094697472000).

85317302741310 is an abundant number, since it is smaller than the sum of its proper divisors (142872092202690).

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

85317302741310 is a wasteful number, since it uses less digits than its factorization.

85317302741310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299007 (or 299001 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 85317302741310 in words is "eighty-five trillion, three hundred seventeen billion, three hundred two million, seven hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 383 766 1149 1915 2298 2789 3447 3830 5578 5745 6894 8367 10341 11490 13945 16734 17235 20682 25101 27890 34470 41835 50202 51705 75303 83670 103410 125505 150606 251010 295819 376515 591638 753030 887457 1068187 1479095 1774914 2136374 2662371 2958190 3204561 4437285 5324742 5340935 6409122 7987113 8874570 9613683 10681870 13311855 15974226 16022805 19227366 26623710 28841049 32045610 39935565 48068415 57682098 79871130 96136830 113298677 144205245 226597354 288410490 339896031 566493385 679792062 825039191 1019688093 1132986770 1650078382 1699480155 2039376186 2475117573 3059064279 3398960310 4125195955 4950235146 5098440465 6118128558 7425352719 8250391910 10196880930 12375587865 14850705438 15295321395 22276058157 24751175730 30590642790 37126763595 44552116314 74253527190 111380290785 222760581570 315990010153 631980020306 947970030459 1579950050765 1895940060918 2843910091377 3159900101530 4739850152295 5687820182754 8531730274131 9479700304590 14219550456885 17063460548262 28439100913770 42658651370655 85317302741310