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289393688320 = 2851120553529
BaseRepresentation
bin1000011011000010011…
…01010011111100000000
31000122222100021120100121
410031201031103330000
514220134241011240
6340540131030024
726623305523012
oct4154115237400
91018870246317
10289393688320
11101805213360
124810543b314
132139c645a39
14100146721b2
1577db48804a
hex4361353f00

289393688320 has 72 divisors (see below), whose sum is σ = 756205475760. Its totient is φ = 105234063360.

The previous prime is 289393688303. The next prime is 289393688351. The reversal of 289393688320 is 23886393982.

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, 10262685 + ... + 10290844.

It is an arithmetic number, because the mean of its divisors is an integer number (10502853830).

Almost surely, 2289393688320 is an apocalyptic number.

289393688320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289393688320 is an abundant number, since it is smaller than the sum of its proper divisors (466811787440).

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

289393688320 is a wasteful number, since it uses less digits than its factorization.

289393688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20553561 (or 20553547 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 289393688320 in words is "two hundred eighty-nine billion, three hundred ninety-three million, six hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 20553529 41107058 82214116 102767645 164428232 205535290 226088819 328856464 411070580 452177638 657712928 822141160 904355276 1130444095 1315425856 1644282320 1808710552 2260888190 2630851712 3288564640 3617421104 4521776380 5261703424 6577129280 7234842208 9043552760 13154258560 14469684416 18087105520 26308517120 28939368832 36174211040 57878737664 72348422080 144696844160 289393688320