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85865304235000 = 235467701365641
BaseRepresentation
bin10011100001100000010010…
…111101010001101111111000
3102021000122100200112202022011
4103201200102331101233320
542223304120341010000
6502341550505535304
724041364166405303
oct2341402275215770
9367018320482264
1085865304235000
11253a52a8811744
1297693307a4534
1338bb0a9510204
14172bc8d7adb3a
159dd8486a02ba
hex4e1812f51bf8

85865304235000 has 160 divisors (see below), whose sum is σ = 204476966488080. Its totient is φ = 33785136000000.

The previous prime is 85865304234973. The next prime is 85865304235013. The reversal of 85865304235000 is 53240356858.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234652180 + ... + 235017820.

Almost surely, 285865304235000 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 85865304235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102238483244040).

85865304235000 is an abundant number, since it is smaller than the sum of its proper divisors (118611662253080).

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

85865304235000 is a wasteful number, since it uses less digits than its factorization.

85865304235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366435 (or 366416 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 85865304235000 in words is "eighty-five trillion, eight hundred sixty-five billion, three hundred four million, two hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 625 670 701 1000 1250 1340 1402 1675 2500 2680 2804 3350 3505 5000 5608 6700 7010 8375 13400 14020 16750 17525 28040 33500 35050 41875 46967 67000 70100 83750 87625 93934 140200 167500 175250 187868 234835 335000 350500 365641 375736 438125 469670 701000 731282 876250 939340 1174175 1462564 1752500 1828205 1878680 2348350 2925128 3505000 3656410 4696700 5870875 7312820 9141025 9393400 11741750 14625640 18282050 23483500 24497947 29354375 36564100 45705125 46967000 48995894 58708750 73128200 91410250 97991788 117417500 122489735 182820500 195983576 228525625 234835000 244979470 256314341 365641000 457051250 489958940 512628682 612448675 914102500 979917880 1025257364 1224897350 1281571705 1828205000 2050514728 2449794700 2563143410 3062243375 4899589400 5126286820 6124486750 6407858525 10252573640 12248973500 12815717050 15311216875 17173060847 24497947000 25631434100 30622433750 32039292625 34346121694 51262868200 61244867500 64078585250 68692243388 85865304235 122489735000 128157170500 137384486776 160196463125 171730608470 256314341000 320392926250 343461216940 429326521175 640785852500 686922433880 858653042350 1281571705000 1717306084700 2146632605875 3434612169400 4293265211750 8586530423500 10733163029375 17173060847000 21466326058750 42932652117500 85865304235000