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289206000960 = 2635301256251
BaseRepresentation
bin1000011010101100000…
…01010101110101000000
31000122111021010001200220
410031112001111311000
514214243214012320
6340505344143040
726615536306362
oct4152601256500
91018437101626
10289206000960
11101719280038
1248072607a80
132136c7acb26
14ddd7776d32
1577c9c61e40
hex4356055d40

289206000960 has 56 divisors (see below), whose sum is σ = 918229056096. Its totient is φ = 77121600000.

The previous prime is 289206000869. The next prime is 289206000991. The reversal of 289206000960 is 69000602982.

It is a super-2 number, since 2×2892060009602 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150627166 + ... + 150629085.

Almost surely, 2289206000960 is an apocalyptic number.

289206000960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289206000960 is an abundant number, since it is smaller than the sum of its proper divisors (629023055136).

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

289206000960 is a wasteful number, since it uses less digits than its factorization.

289206000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301256271 (or 301256261 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 289206000960 in words is "two hundred eighty-nine billion, two hundred six million, nine hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 301256251 602512502 903768753 1205025004 1506281255 1807537506 2410050008 3012562510 3615075012 4518843765 4820100016 6025125020 7230150024 9037687530 9640200032 12050250040 14460300048 18075375060 19280400064 24100500080 28920600096 36150750120 48201000160 57841200192 72301500240 96402000320 144603000480 289206000960