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289044965088 = 25321191238941
BaseRepresentation
bin1000011010011000110…
…11000010011011100000
31000122002001002121000100
410031030123002123200
514213431002340323
6340441352422400
726611542444135
oct4151433023340
91018061077010
10289044965088
11101646390440
12480286a7a00
1321345318a29
14ddc021858c
1577baa52943
hex434c6c26e0

289044965088 has 72 divisors (see below), whose sum is σ = 896696321976. Its totient is φ = 87589382400.

The previous prime is 289044965087. The next prime is 289044965113. The reversal of 289044965088 is 880569440982.

289044965088 is a `hidden beast` number, since 2 + 8 + 90 + 4 + 496 + 50 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289044965087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45616303 + ... + 45622638.

It is an arithmetic number, because the mean of its divisors is an integer number (12454115583).

Almost surely, 2289044965088 is an apocalyptic number.

It is an amenable number.

289044965088 is an abundant number, since it is smaller than the sum of its proper divisors (607651356888).

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

289044965088 is a wasteful number, since it uses less digits than its factorization.

289044965088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91238968 (or 91238957 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 289044965088 in words is "two hundred eighty-nine billion, forty-four million, nine hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 91238941 182477882 273716823 364955764 547433646 729911528 821150469 1003628351 1094867292 1459823056 1642300938 2007256702 2189734584 2919646112 3010885053 3284601876 4014513404 4379469168 6021770106 6569203752 8029026808 8758938336 9032655159 12043540212 13138407504 16058053616 18065310318 24087080424 26276815008 32116107232 36130620636 48174160848 72261241272 96348321696 144522482544 289044965088