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6986402080 = 255712749117
BaseRepresentation
bin1101000000110110…
…00000100100100000
3200000220010222221121
412200123000210200
5103302004331310
63113130502024
7335062303120
oct64033004440
920026128847
106986402080
112a65707319
12142b894914
13874554838
144a3c1ac80
152ad5300da
hex1a06c0920

6986402080 has 96 divisors (see below), whose sum is σ = 19012202496. Its totient is φ = 2376428544.

The previous prime is 6986402069. The next prime is 6986402083. The reversal of 6986402080 is 802046896.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6986402083) 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, 117682 + ... + 166798.

It is an arithmetic number, because the mean of its divisors is an integer number (198043776).

Almost surely, 26986402080 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 6986402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9506101248).

6986402080 is an abundant number, since it is smaller than the sum of its proper divisors (12025800416).

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

6986402080 is a wasteful number, since it uses less digits than its factorization.

6986402080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49266 (or 49258 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 6986402080 is about 83584.7000353534. The cubic root of 6986402080 is about 1911.6917186483.

The spelling of 6986402080 in words is "six billion, nine hundred eighty-six million, four hundred two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 127 140 160 224 254 280 508 560 635 889 1016 1120 1270 1778 2032 2540 3556 4064 4445 5080 7112 8890 10160 14224 17780 20320 28448 35560 49117 71120 98234 142240 196468 245585 343819 392936 491170 687638 785872 982340 1375276 1571744 1719095 1964680 2750552 3438190 3929360 5501104 6237859 6876380 7858720 11002208 12475718 13752760 24951436 27505520 31189295 43665013 49902872 55011040 62378590 87330026 99805744 124757180 174660052 199611488 218325065 249514360 349320104 436650130 499028720 698640208 873300260 998057440 1397280416 1746600520 3493201040 6986402080