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85786243345100 = 225234724171022849
BaseRepresentation
bin10011100000010110101010…
…100011111010101011001100
3102020202002021210112102011202
4103200112222203322223030
542221010211244020400
6502241353420405032
724032565040053104
oct2340265243725314
9366662253472152
1085786243345100
1125374817a1aa11
129755b473a6778
1338b37b9b1655c
14172810d652204
159db76c8864d5
hex4e05aa8faacc

85786243345100 has 72 divisors (see below), whose sum is σ = 186770045170800. Its totient is φ = 34201418629120.

The previous prime is 85786243345069. The next prime is 85786243345139. The reversal of 85786243345100 is 154334268758.

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 23 ways as a sum of consecutive naturals, for example, 83358476 + ... + 84381324.

It is an arithmetic number, because the mean of its divisors is an integer number (2594028405150).

Almost surely, 285786243345100 is an apocalyptic number.

It is an amenable number.

85786243345100 is an abundant number, since it is smaller than the sum of its proper divisors (100983801825700).

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

85786243345100 is a wasteful number, since it uses less digits than its factorization.

85786243345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025627 (or 1025620 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 85786243345100 in words is "eighty-five trillion, seven hundred eighty-six billion, two hundred forty-three million, three hundred forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 347 694 1388 1735 2417 3470 4834 6940 8675 9668 12085 17350 24170 34700 48340 60425 120850 241700 838699 1022849 1677398 2045698 3354796 4091396 4193495 5114245 8386990 10228490 16773980 20456980 20967475 25571225 41934950 51142450 83869900 102284900 354928603 709857206 1419714412 1774643015 2472226033 3549286030 4944452066 7098572060 8873215075 9888904132 12361130165 17746430150 24722260330 35492860300 49444520660 61805650825 123611301650 247222603300 857862433451 1715724866902 3431449733804 4289312167255 8578624334510 17157248669020 21446560836275 42893121672550 85786243345100