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289694198440 = 23559280343793
BaseRepresentation
bin1000011011100110001…
…11101010101010101000
31000200202021202001202001
410031303013222222220
514221243203322230
6341030024020344
726633615025553
oct4156307525250
91020667661661
10289694198440
11101949906029
124818a0016b4
1321419991a8a
141004253969a
157807a480ca
hex43731eaaa8

289694198440 has 64 divisors (see below), whose sum is σ = 663111230400. Its totient is φ = 113870410752.

The previous prime is 289694198419. The next prime is 289694198489. The reversal of 289694198440 is 44891496982.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6593184 + ... + 6636976.

It is an arithmetic number, because the mean of its divisors is an integer number (10361112975).

Almost surely, 2289694198440 is an apocalyptic number.

289694198440 is a gapful number since it is divisible by the number (20) 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 289694198440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331555615200).

289694198440 is an abundant number, since it is smaller than the sum of its proper divisors (373417031960).

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

289694198440 is a wasteful number, since it uses less digits than its factorization.

289694198440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46666 (or 46662 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 64.

The spelling of 289694198440 in words is "two hundred eighty-nine billion, six hundred ninety-four million, one hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 2803 5606 11212 14015 22424 28030 43793 56060 87586 112120 165377 175172 218965 330754 350344 437930 661508 826885 875860 1323016 1653770 1751720 2583787 3307540 5167574 6615080 10335148 12918935 20670296 25837870 51675740 103351480 122751779 245503558 491007116 613758895 982014232 1227517790 2455035580 4910071160 7242354961 14484709922 28969419844 36211774805 57938839688 72423549610 144847099220 289694198440