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6488341680 = 2435292334001
BaseRepresentation
bin1100000101011110…
…00011110010110000
3121202011221220112010
412002233003302300
5101242003413210
62551455402520
7316533665022
oct60257036260
917664856463
106488341680
11282a555157
121310b23440
137c52cb542
14457a0c012
1527e94b920
hex182bc3cb0

6488341680 has 160 divisors (see below), whose sum is σ = 20901965760. Its totient is φ = 1662976000.

The previous prime is 6488341627. The next prime is 6488341697. The reversal of 6488341680 is 861438846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1619680 + ... + 1623680.

It is an arithmetic number, because the mean of its divisors is an integer number (130637286).

Almost surely, 26488341680 is an apocalyptic number.

6488341680 is a gapful number since it is divisible by the number (60) 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 6488341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10450982880).

6488341680 is an abundant number, since it is smaller than the sum of its proper divisors (14413624080).

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

6488341680 is a wasteful number, since it uses less digits than its factorization.

6488341680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 6488341680 is about 80550.2432026124. The cubic root of 6488341680 is about 1865.1391463240.

The spelling of 6488341680 in words is "six billion, four hundred eighty-eight million, three hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 233 240 290 348 435 464 466 580 696 699 870 932 1160 1165 1392 1398 1740 1864 2320 2330 2796 3480 3495 3728 4001 4660 5592 6757 6960 6990 8002 9320 11184 12003 13514 13980 16004 18640 20005 20271 24006 27028 27960 32008 33785 40010 40542 48012 54056 55920 60015 64016 67570 80020 81084 96024 101355 108112 116029 120030 135140 160040 162168 192048 202710 232058 240060 270280 320080 324336 348087 405420 464116 480120 540560 580145 696174 810840 928232 932233 960240 1160290 1392348 1621680 1740435 1856464 1864466 2320580 2784696 2796699 3480870 3728932 4641160 4661165 5569392 5593398 6961740 7457864 9282320 9322330 11186796 13923480 13983495 14915728 18644660 22373592 27034757 27846960 27966990 37289320 44747184 54069514 55933980 74578640 81104271 108139028 111867960 135173785 162208542 216278056 223735920 270347570 324417084 405521355 432556112 540695140 648834168 811042710 1081390280 1297668336 1622085420 2162780560 3244170840 6488341680