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2386280064 = 27377312161
BaseRepresentation
bin1000111000111011…
…1011111010000000
320011022012120212010
42032032323322000
514341341430224
61032442132520
7113064021510
oct21616737200
96138176763
102386280064
111014aa1593
125671b1140
132c04c3b4c
14188ccb840
15de765e29
hex8e3bbe80

2386280064 has 128 divisors (see below), whose sum is σ = 7343902080. Its totient is φ = 672399360.

The previous prime is 2386280063. The next prime is 2386280077. The reversal of 2386280064 is 4600826832.

2386280064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2386280063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190144 + ... + 202304.

It is an arithmetic number, because the mean of its divisors is an integer number (57374235).

Almost surely, 22386280064 is an apocalyptic number.

2386280064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2386280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671951040).

2386280064 is an abundant number, since it is smaller than the sum of its proper divisors (4957622016).

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

2386280064 is a wasteful number, since it uses less digits than its factorization.

2386280064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2386280064 is about 48849.5656480178. The cubic root of 2386280064 is about 1336.3097516454.

The spelling of 2386280064 in words is "two billion, three hundred eighty-six million, two hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 292 336 384 438 448 511 584 672 876 896 1022 1168 1344 1533 1752 2044 2336 2688 3066 3504 4088 4672 6132 7008 8176 9344 12161 12264 14016 16352 24322 24528 28032 32704 36483 48644 49056 65408 72966 85127 97288 98112 145932 170254 194576 196224 255381 291864 340508 389152 510762 583728 681016 778304 887753 1021524 1167456 1362032 1556608 1775506 2043048 2334912 2663259 2724064 3551012 4086096 4669824 5326518 5448128 6214271 7102024 8172192 10653036 10896256 12428542 14204048 16344384 18642813 21306072 24857084 28408096 32688768 37285626 42612144 49714168 56816192 74571252 85224288 99428336 113632384 149142504 170448576 198856672 298285008 340897152 397713344 596570016 795426688 1193140032 2386280064