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83284446930 = 23523197631971
BaseRepresentation
bin100110110010000100…
…0111100111011010010
321221222020101021011120
41031210020330323102
52331031304300210
6102132122423110
76005603055426
oct1154410747322
9257866337146
1083284446930
1132358998733
1214183961a96
137b1372cb39
144061066b86
1522769ed270
hex136423ced2

83284446930 has 128 divisors (see below), whose sum is σ = 210180427776. Its totient is φ = 21080505600.

The previous prime is 83284446881. The next prime is 83284446961. The reversal of 83284446930 is 3964448238.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85771345 + ... + 85772315.

It is an arithmetic number, because the mean of its divisors is an integer number (1642034592).

Almost surely, 283284446930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83284446930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105090213888).

83284446930 is an abundant number, since it is smaller than the sum of its proper divisors (126895980846).

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

83284446930 is a wasteful number, since it uses less digits than its factorization.

83284446930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832.

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 83284446930 in words is "eighty-three billion, two hundred eighty-four million, four hundred forty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 197 230 345 394 591 631 690 971 985 1182 1262 1893 1942 1970 2913 2955 3155 3786 4531 4855 5826 5910 6310 9062 9465 9710 13593 14513 14565 18930 22333 22655 27186 29026 29130 43539 44666 45310 66999 67965 72565 87078 111665 124307 133998 135930 145130 191287 217695 223330 248614 334995 372921 382574 435390 573861 612701 621535 669990 745842 956435 1147722 1225402 1243070 1838103 1864605 1912870 2859061 2869305 3063505 3676206 3729210 4399601 5718122 5738610 6127010 8577183 8799202 9190515 13198803 14092123 14295305 17154366 18381030 21998005 26397606 28184246 28590610 42276369 42885915 43996010 65994015 70460615 84552738 85771830 120702097 131988030 140921230 211381845 241404194 362106291 422763690 603510485 724212582 1207020970 1810531455 2776148231 3621062910 5552296462 8328444693 13880741155 16656889386 27761482310 41642223465 83284446930