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5760206664 = 23323291512383
BaseRepresentation
bin1010101110101010…
…11100011101001000
3112212102211211001120
411113111130131020
543244103103124
62351325115240
7262512643302
oct52725343510
915772754046
105760206664
112496539583
1211490b8b20
1370a4bb014
143c902c972
1523aa6cd79
hex15755c748

5760206664 has 128 divisors (see below), whose sum is σ = 15654297600. Its totient is φ = 1760774400.

The previous prime is 5760206663. The next prime is 5760206677. The reversal of 5760206664 is 4666020675.

It is not an unprimeable number, because it can be changed into a prime (5760206663) 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, 2416017 + ... + 2418399.

It is an arithmetic number, because the mean of its divisors is an integer number (122299200).

Almost surely, 25760206664 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 5760206664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827148800).

5760206664 is an abundant number, since it is smaller than the sum of its proper divisors (9894090936).

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

5760206664 is a wasteful number, since it uses less digits than its factorization.

5760206664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5760206664 is about 75896.0253504754. The cubic root of 5760206664 is about 1792.5833369088.

The spelling of 5760206664 in words is "five billion, seven hundred sixty million, two hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 151 174 184 232 276 302 348 453 552 604 667 696 906 1208 1334 1812 2001 2383 2668 3473 3624 4002 4379 4766 5336 6946 7149 8004 8758 9532 10419 13137 13892 14298 16008 17516 19064 20838 26274 27784 28596 35032 41676 52548 54809 57192 69107 83352 100717 105096 109618 138214 164427 201434 207321 219236 276428 302151 328854 359833 402868 414642 438472 552856 604302 657708 719666 805736 829284 1079499 1208604 1315416 1439332 1589461 1658568 2158998 2417208 2878664 3178922 4317996 4768383 6357844 8276159 8635992 9536766 10435157 12715688 16552318 19073532 20870314 24828477 31305471 33104636 38147064 41740628 49656954 62610942 66209272 83481256 99313908 125221884 198627816 240008611 250443768 480017222 720025833 960034444 1440051666 1920068888 2880103332 5760206664