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85413485300 = 225211137737727
BaseRepresentation
bin100111110001100001…
…0100101101011110100
322011110121112121202112
41033203002211223310
52344411323012200
6103123255230152
76112424434403
oct1174302455364
9264417477675
1085413485300
113325075a780
1214678978358
138092847060
1441c3b1163a
15234d89e535
hex13e30a5af4

85413485300 has 144 divisors (see below), whose sum is σ = 218060543232. Its totient is φ = 28629465600.

The previous prime is 85413485273. The next prime is 85413485309. The reversal of 85413485300 is 358431458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85413485309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11050037 + ... + 11057763.

It is an arithmetic number, because the mean of its divisors is an integer number (1514309328).

Almost surely, 285413485300 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 85413485300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109030271616).

85413485300 is an abundant number, since it is smaller than the sum of its proper divisors (132647057932).

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

85413485300 is a wasteful number, since it uses less digits than its factorization.

85413485300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 85413485300 in words is "eighty-five billion, four hundred thirteen million, four hundred eighty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 773 1100 1300 1430 1546 2860 3092 3575 3865 7150 7727 7730 8503 10049 14300 15454 15460 17006 19325 20098 30908 34012 38635 38650 40196 42515 50245 77270 77300 84997 85030 100451 100490 110539 154540 169994 170060 193175 200902 200980 212575 221078 251225 339988 386350 401804 424985 425150 442156 502255 502450 552695 772700 849970 850300 1004510 1004900 1104961 1105390 1699940 2009020 2124925 2209922 2210780 2511275 2763475 4249850 4419844 5022550 5524805 5526950 5972971 8499700 10045100 11049610 11053900 11945942 22099220 23891884 27624025 29864855 55248050 59729710 65702681 77648623 110496100 119459420 131405362 149324275 155297246 262810724 298648550 310594492 328513405 388243115 597297100 657026810 776486230 854134853 1314053620 1552972460 1642567025 1708269706 1941215575 3285134050 3416539412 3882431150 4270674265 6570268100 7764862300 8541348530 17082697060 21353371325 42706742650 85413485300