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6803795680 = 2551131124703
BaseRepresentation
bin1100101011000100…
…11010111011100000
3122120011112122001121
412111202122323200
5102413232430210
63043044542024
7330414211003
oct62542327340
918504478047
106803795680
112981624440
12139a6b1914
1384577a506
1448788553a
1529c4ae6da
hex19589aee0

6803795680 has 96 divisors (see below), whose sum is σ = 18101035008. Its totient is φ = 2394278400.

The previous prime is 6803795657. The next prime is 6803795683. The reversal of 6803795680 is 865973086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6803795683) 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, 7792 + ... + 116911.

It is an arithmetic number, because the mean of its divisors is an integer number (188552448).

Almost surely, 26803795680 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 6803795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050517504).

6803795680 is an abundant number, since it is smaller than the sum of its proper divisors (11297239328).

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

6803795680 is a wasteful number, since it uses less digits than its factorization.

6803795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124760 (or 124752 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 6803795680 is about 82485.1239921478. The cubic root of 6803795680 is about 1894.8889114616. Note that the first 3 decimals are identical.

The spelling of 6803795680 in words is "six billion, eight hundred three million, seven hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 124703 249406 498812 623515 997624 1247030 1371733 1995248 2494060 2743466 3865793 3990496 4988120 5486932 6858665 7731586 9976240 10973864 13717330 15463172 19328965 19952480 21947728 27434660 30926344 38657930 42523723 43895456 54869320 61852688 77315860 85047446 109738640 123705376 154631720 170094892 212618615 219477280 309263440 340189784 425237230 618526880 680379568 850474460 1360759136 1700948920 3401897840 6803795680