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2845216864 = 257191016619
BaseRepresentation
bin1010100110010110…
…1001000001100000
321100021202222210101
42221211221001200
521311333414424
61150154512144
7130335641620
oct25145510140
97307688711
102845216864
1112300615a6
12674a35654
133645cc499
141cdc34880
15119bbc344
hexa9969060

2845216864 has 96 divisors (see below), whose sum is σ = 6806419200. Its totient is φ = 1143590400.

The previous prime is 2845216831. The next prime is 2845216873. The reversal of 2845216864 is 4686125482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426547 + ... + 433165.

It is an arithmetic number, because the mean of its divisors is an integer number (70900200).

Almost surely, 22845216864 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 2845216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403209600).

2845216864 is an abundant number, since it is smaller than the sum of its proper divisors (3961202336).

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

2845216864 is a wasteful number, since it uses less digits than its factorization.

2845216864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6748 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 2845216864 is about 53340.5742751238. The cubic root of 2845216864 is about 1417.0063334891.

The spelling of 2845216864 in words is "two billion, eight hundred forty-five million, two hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 101 112 133 152 202 224 266 304 404 532 608 707 808 1064 1414 1616 1919 2128 2828 3232 3838 4256 5656 6619 7676 11312 13238 13433 15352 22624 26476 26866 30704 46333 52952 53732 61408 92666 105904 107464 125761 185332 211808 214928 251522 370664 429856 503044 668519 741328 880327 1006088 1337038 1482656 1760654 2012176 2674076 3521308 4024352 4679633 5348152 7042616 9359266 10696304 12701861 14085232 18718532 21392608 25403722 28170464 37437064 50807444 74874128 88913027 101614888 149748256 177826054 203229776 355652108 406459552 711304216 1422608432 2845216864