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9872840010 = 2351131965087
BaseRepresentation
bin10010011000111011…
…11001010101001010
3221111001111020102010
421030131321111022
5130204421340020
64311401120350
7466441520055
oct111435712512
927431436363
109872840010
114206a62910
121ab64890b6
13c14557587
14699301a9c
153cbb40de0
hex24c77954a

9872840010 has 64 divisors (see below), whose sum is σ = 26682753024. Its totient is φ = 2316206400.

The previous prime is 9872840009. The next prime is 9872840017. The reversal of 9872840010 is 100482789.

9872840010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9872840017) 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 31 ways as a sum of consecutive naturals, for example, 472314 + ... + 492773.

It is an arithmetic number, because the mean of its divisors is an integer number (416918016).

Almost surely, 29872840010 is an apocalyptic number.

9872840010 is an abundant number, since it is smaller than the sum of its proper divisors (16809913014).

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

9872840010 is a wasteful number, since it uses less digits than its factorization.

9872840010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965139.

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 9872840010 is about 99362.1658882293. The cubic root of 9872840010 is about 2145.2637772557.

The spelling of 9872840010 in words is "nine billion, eight hundred seventy-two million, eight hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 965087 1930174 2895261 4825435 5790522 9650870 10615957 14476305 21231914 28952610 29917697 31847871 53079785 59835394 63695742 89753091 106159570 149588485 159239355 179506182 299176970 318478710 329094667 448765455 658189334 897530910 987284001 1645473335 1974568002 3290946670 4936420005 9872840010