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8510142690 = 234575328319
BaseRepresentation
bin1111110110011111…
…00111100011100010
3210222002100001010000
413323033213203202
5114412044031230
63524241520430
7420614006430
oct77317474342
923862301100
108510142690
113677832185
121796043116
13a581399ba
145aa33dd50
1534c1b8b60
hex1fb3e78e2

8510142690 has 160 divisors (see below), whose sum is σ = 26646174720. Its totient is φ = 1908406656.

The previous prime is 8510142689. The next prime is 8510142791. The reversal of 8510142690 is 962410158.

It is a super-2 number, since 2×85101426902 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286351 + ... + 314669.

It is an arithmetic number, because the mean of its divisors is an integer number (166538592).

Almost surely, 28510142690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8510142690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323087360).

8510142690 is an abundant number, since it is smaller than the sum of its proper divisors (18136032030).

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

8510142690 is a wasteful number, since it uses less digits than its factorization.

8510142690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28398 (or 28389 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8510142690 is about 92250.4346331225. The cubic root of 8510142690 is about 2041.6389726597.

The spelling of 8510142690 in words is "eight billion, five hundred ten million, one hundred forty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 81 90 105 106 126 135 159 162 189 210 265 270 315 318 371 378 405 477 530 567 630 742 795 810 945 954 1113 1134 1431 1590 1855 1890 2226 2385 2835 2862 3339 3710 4293 4770 5565 5670 6678 7155 8586 10017 11130 14310 16695 20034 21465 28319 30051 33390 42930 50085 56638 60102 84957 100170 141595 150255 169914 198233 254871 283190 300510 396466 424785 509742 594699 764613 849570 991165 1189398 1274355 1500907 1529226 1784097 1982330 2293839 2548710 2973495 3001814 3568194 3823065 4502721 4587678 5352291 5946990 7504535 7646130 8920485 9005442 10506349 10704582 11469195 13508163 15009070 16056873 17840970 21012698 22513605 22938390 26761455 27016326 31519047 32113746 40524489 45027210 52531745 53522910 63038094 67540815 80284365 81048978 94557141 105063490 121573467 135081630 157595235 160568730 189114282 202622445 243146934 283671423 315190470 405244890 472785705 567342846 607867335 851014269 945571410 1215734670 1418357115 1702028538 2836714230 4255071345 8510142690