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6988684080 = 2435714927919
BaseRepresentation
bin1101000001000111…
…01101101100110000
3200001001102221021010
412200203231230300
5103303100342310
63113251430520
7335120556150
oct64043555460
920031387233
106988684080
112a66a25874
1214305b5440
13874b73431
144a4252760
152ad831320
hex1a08edb30

6988684080 has 160 divisors (see below), whose sum is σ = 24926976000. Its totient is φ = 1586635776.

The previous prime is 6988684057. The next prime is 6988684093. The reversal of 6988684080 is 804868896.

It is a self number, because there is not a number n which added to its sum of digits gives 6988684080.

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, 236361 + ... + 264279.

It is an arithmetic number, because the mean of its divisors is an integer number (155793600).

Almost surely, 26988684080 is an apocalyptic number.

6988684080 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 6988684080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463488000).

6988684080 is an abundant number, since it is smaller than the sum of its proper divisors (17938291920).

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

6988684080 is a wasteful number, since it uses less digits than its factorization.

6988684080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28091 (or 28085 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The square root of 6988684080 is about 83598.3497444776. The cubic root of 6988684080 is about 1911.8998374845.

The spelling of 6988684080 in words is "six billion, nine hundred eighty-eight million, six hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 149 168 210 240 280 298 336 420 447 560 596 745 840 894 1043 1192 1490 1680 1788 2086 2235 2384 2980 3129 3576 4172 4470 5215 5960 6258 7152 8344 8940 10430 11920 12516 15645 16688 17880 20860 25032 27919 31290 35760 41720 50064 55838 62580 83440 83757 111676 125160 139595 167514 195433 223352 250320 279190 335028 390866 418785 446704 558380 586299 670056 781732 837570 977165 1116760 1172598 1340112 1563464 1675140 1954330 2233520 2345196 2931495 3126928 3350280 3908660 4159931 4690392 5862990 6700560 7817320 8319862 9380784 11725980 12479793 15634640 16639724 20799655 23451960 24959586 29119517 33279448 41599310 46903920 49919172 58239034 62398965 66558896 83198620 87358551 99838344 116478068 124797930 145597585 166397240 174717102 199676688 232956136 249595860 291195170 332794480 349434204 436792755 465912272 499191720 582390340 698868408 873585510 998383440 1164780680 1397736816 1747171020 2329561360 3494342040 6988684080