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85902774520 = 235231017511231
BaseRepresentation
bin101000000000000110…
…1000101000011111000
322012201201020002101111
41100000031011003320
52401412102241040
6103244014330104
76130515351523
oct1200015050370
9265651202344
1085902774520
1133481970a32
12147947b9934
13814001bbc4
14422cab9bba
15237b7eddea
hex14003450f8

85902774520 has 128 divisors (see below), whose sum is σ = 204118548480. Its totient is φ = 32472000000.

The previous prime is 85902774479. The next prime is 85902774523. The reversal of 85902774520 is 2547720958.

It is a super-2 number, since 2×859027745202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85902774523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69782305 + ... + 69783535.

It is an arithmetic number, because the mean of its divisors is an integer number (1594676160).

Almost surely, 285902774520 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 85902774520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102059274240).

85902774520 is an abundant number, since it is smaller than the sum of its proper divisors (118215773960).

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

85902774520 is a wasteful number, since it uses less digits than its factorization.

85902774520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 85902774520 in words is "eighty-five billion, nine hundred two million, seven hundred seventy-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 101 115 184 202 230 404 460 505 751 808 920 1010 1231 1502 2020 2323 2462 3004 3755 4040 4646 4924 6008 6155 7510 9292 9848 11615 12310 15020 17273 18584 23230 24620 28313 30040 34546 46460 49240 56626 69092 75851 86365 92920 113252 124331 138184 141565 151702 172730 226504 248662 283130 303404 345460 379255 497324 566260 606808 621655 690920 758510 924481 994648 1132520 1243310 1517020 1744573 1848962 2486620 2859613 3034040 3489146 3697924 4622405 4973240 5719226 6978292 7395848 8722865 9244810 11438452 13956584 14298065 17445730 18489620 21263063 22876904 28596130 34891460 36979240 42526126 57192260 69782920 85052252 93372581 106315315 114384520 170104504 186745162 212630630 373490324 425261260 466862905 746980648 850522520 933725810 1867451620 2147569363 3734903240 4295138726 8590277452 10737846815 17180554904 21475693630 42951387260 85902774520