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9805201112 = 2371761716693
BaseRepresentation
bin10010010000110111…
…10111111011011000
3221022100012211021202
421020123313323120
5130040112413422
64300543253332
7464660556110
oct111033677330
927270184252
109805201112
1141818647a3
121a978aa248
13c03534665
14690336040
153c5c2eb92
hex2486f7ed8

9805201112 has 64 divisors (see below), whose sum is σ = 22284486720. Its totient is φ = 3948392448.

The previous prime is 9805201039. The next prime is 9805201117. The reversal of 9805201112 is 2111025089.

It is a super-2 number, since 2×98052011122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9805201117) 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 15 ways as a sum of consecutive naturals, for example, 579038 + ... + 595730.

It is an arithmetic number, because the mean of its divisors is an integer number (348195105).

Almost surely, 29805201112 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 9805201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142243360).

9805201112 is an abundant number, since it is smaller than the sum of its proper divisors (12479285608).

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

9805201112 is a wasteful number, since it uses less digits than its factorization.

9805201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17340 (or 17336 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 9805201112 is about 99021.2154641620. The cubic root of 9805201112 is about 2140.3534740891.

The spelling of 9805201112 in words is "nine billion, eight hundred five million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 617 952 1234 2468 4319 4936 8638 10489 16693 17276 20978 33386 34552 41956 66772 73423 83912 116851 133544 146846 233702 283781 293692 467404 567562 587384 934808 1135124 1986467 2270248 3972934 7945868 10299581 15891736 20599162 41198324 72097067 82396648 144194134 175092877 288388268 350185754 576776536 700371508 1225650139 1400743016 2451300278 4902600556 9805201112