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2859820002 = 23213172273167
BaseRepresentation
bin1010101001110101…
…0110001111100010
321101022020220112100
42222131112033202
521324103220002
61151435511230
7130604032434
oct25235261742
97338226470
102859820002
111238326106
126798b8516
133676432b0
141d1b56654
1511b10411c
hexaa7563e2

2859820002 has 96 divisors (see below), whose sum is σ = 7098803712. Its totient is φ = 824274432.

The previous prime is 2859819983. The next prime is 2859820003. The reversal of 2859820002 is 2000289582.

It is not an unprimeable number, because it can be changed into a prime (2859820003) 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 47 ways as a sum of consecutive naturals, for example, 901423 + ... + 904589.

It is an arithmetic number, because the mean of its divisors is an integer number (73945872).

Almost surely, 22859820002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2859820002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549401856).

2859820002 is an abundant number, since it is smaller than the sum of its proper divisors (4238983710).

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

2859820002 is a wasteful number, since it uses less digits than its factorization.

2859820002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2859820002 is about 53477.2849161212. The cubic root of 2859820002 is about 1419.4264697675.

The spelling of 2859820002 in words is "two billion, eight hundred fifty-nine million, eight hundred twenty thousand, two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 227 234 306 442 454 663 681 1326 1362 1989 2043 2951 3167 3859 3978 4086 5902 6334 7718 8853 9501 11577 17706 19002 23154 26559 28503 34731 41171 50167 53118 53839 57006 69462 82342 100334 107678 123513 150501 161517 247026 301002 323034 370539 451503 484551 699907 718909 741078 903006 969102 1399814 1437818 2099721 2156727 4199442 4313454 6299163 6470181 9345817 12221453 12598326 12940362 18691634 24442906 28037451 36664359 56074902 73328718 84112353 109993077 158878889 168224706 219986154 317757778 476636667 953273334 1429910001 2859820002