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2869960086 = 23472615927
BaseRepresentation
bin1010101100010000…
…0001110110010110
321102000100002010000
42223010001312112
521334202210321
61152441112130
7131056154400
oct25304016626
97360302100
102869960086
111243021544
12681188646
13369783846
141d3235b70
1511be58826
hexab101d96

2869960086 has 120 divisors (see below), whose sum is σ = 7604687376. Its totient is φ = 806410080.

The previous prime is 2869960057. The next prime is 2869960091. The reversal of 2869960086 is 6800699682.

2869960086 is a `hidden beast` number, since 28 + 6 + 9 + 9 + 600 + 8 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 481255 + ... + 487181.

Almost surely, 22869960086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2869960086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802343688).

2869960086 is an abundant number, since it is smaller than the sum of its proper divisors (4734727290).

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

2869960086 is a wasteful number, since it uses less digits than its factorization.

2869960086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 2869960086 is about 53572.0084185762. The cubic root of 2869960086 is about 1421.1021143666.

The spelling of 2869960086 in words is "two billion, eight hundred sixty-nine million, nine hundred sixty thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 61 63 81 98 122 126 147 162 183 189 294 366 378 427 441 549 567 854 882 1098 1134 1281 1323 1647 2562 2646 2989 3294 3843 3969 4941 5927 5978 7686 7938 8967 9882 11529 11854 17781 17934 23058 26901 34587 35562 41489 53343 53802 69174 80703 82978 106686 124467 160029 161406 242109 248934 290423 320058 361547 373401 480087 484218 580846 723094 746802 871269 960174 1084641 1120203 1742538 2169282 2240406 2530829 2613807 3253923 3360609 5061658 5227614 6507846 6721218 7592487 7841421 9761769 15184974 15682842 17715803 19523538 22777461 23524263 29285307 35431606 45554922 47048526 53147409 58570614 68332383 106294818 136664766 159442227 204997149 318884454 409994298 478326681 956653362 1434980043 2869960086