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6869342880 = 2532543110939
BaseRepresentation
bin1100110010111000…
…11101101010100000
3122201201212202220200
412121130131222200
5103032022433010
63053345505200
7332141310501
oct63134355240
918651782820
106869342880
112a05623a84
1213b8642200
1385621a33a
14492468ba8
152a310acc0
hex19971daa0

6869342880 has 144 divisors (see below), whose sum is σ = 23987003040. Its totient is φ = 1789208064.

The previous prime is 6869342873. The next prime is 6869342899. The reversal of 6869342880 is 882439686.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6451 + ... + 117389.

It is an arithmetic number, because the mean of its divisors is an integer number (166576410).

Almost surely, 26869342880 is an apocalyptic number.

6869342880 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 6869342880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11993501520).

6869342880 is an abundant number, since it is smaller than the sum of its proper divisors (17117660160).

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

6869342880 is a wasteful number, since it uses less digits than its factorization.

6869342880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111003 (or 110992 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 6869342880 is about 82881.4990211929. The cubic root of 6869342880 is about 1900.9545416045.

The spelling of 6869342880 in words is "six billion, eight hundred sixty-nine million, three hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 43 45 48 60 72 80 86 90 96 120 129 144 160 172 180 215 240 258 288 344 360 387 430 480 516 645 688 720 774 860 1032 1290 1376 1440 1548 1720 1935 2064 2580 3096 3440 3870 4128 5160 6192 6880 7740 10320 12384 15480 20640 30960 61920 110939 221878 332817 443756 554695 665634 887512 998451 1109390 1331268 1664085 1775024 1996902 2218780 2662536 3328170 3550048 3993804 4437560 4770377 4992255 5325072 6656340 7987608 8875120 9540754 9984510 10650144 13312680 14311131 15975216 17750240 19081508 19969020 23851885 26625360 28622262 31950432 38163016 39938040 42933393 47703770 53250720 57244524 71555655 76326032 79876080 85866786 95407540 114489048 143111310 152652064 159752160 171733572 190815080 214666965 228978096 286222620 343467144 381630160 429333930 457956192 572445240 686934288 763260320 858667860 1144890480 1373868576 1717335720 2289780960 3434671440 6869342880