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9861117896 = 2372227110819
BaseRepresentation
bin10010010111100010…
…01011011111001000
3221110020102200200202
421023301023133020
5130143421233041
64310301551332
7466240055600
oct111361133710
927406380622
109861117896
114200386913
121ab2575548
13c11cb1c06
1469792dc00
153caac7a9b
hex24bc4b7c8

9861117896 has 48 divisors (see below), whose sum is σ = 21603250800. Its totient is φ = 4207537824.

The previous prime is 9861117881. The next prime is 9861117899. The reversal of 9861117896 is 6987111689.

9861117896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×98611178962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (9861117899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33575 + ... + 144393.

It is an arithmetic number, because the mean of its divisors is an integer number (450067725).

Almost surely, 29861117896 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 9861117896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10801625400).

9861117896 is an abundant number, since it is smaller than the sum of its proper divisors (11742132904).

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

9861117896 is a wasteful number, since it uses less digits than its factorization.

9861117896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111066 (or 111055 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 56.

The square root of 9861117896 is about 99303.1615609493. The cubic root of 9861117896 is about 2144.4144105239.

The spelling of 9861117896 in words is "nine billion, eight hundred sixty-one million, one hundred seventeen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 227 392 454 908 1589 1816 3178 6356 11123 12712 22246 44492 88984 110819 221638 443276 775733 886552 1551466 3102932 5430131 6205864 10860262 21720524 25155913 43441048 50311826 100623652 176091391 201247304 352182782 704365564 1232639737 1408731128 2465279474 4930558948 9861117896