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2189441716254 = 2321323967420691
BaseRepresentation
bin11111110111000100111…
…001010101000000011110
321202022022221212011000100
4133313010321111000132
5241332434034410004
64353452102241530
7314116256344512
oct37670471250036
97668287764010
102189441716254
1177459a852151
122b43b37262a6
1312b604315270
1477d80604142
153be44566739
hex1fdc4e5501e

2189441716254 has 96 divisors (see below), whose sum is σ = 5336340033024. Its totient is φ = 643716279360.

The previous prime is 2189441716249. The next prime is 2189441716289. The reversal of 2189441716254 is 4526171449812.

2189441716254 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 4 + 4 + 1 + 7 + 1 + 625 + 4 = 666.

It is a super-2 number, since 2×21894417162542 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2189441716254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4994049 + ... + 5414739.

It is an arithmetic number, because the mean of its divisors is an integer number (55586875344).

Almost surely, 22189441716254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189441716254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668170016512).

2189441716254 is an abundant number, since it is smaller than the sum of its proper divisors (3146898316770).

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

2189441716254 is a wasteful number, since it uses less digits than its factorization.

2189441716254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421702 (or 421699 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 2189441716254 in words is "two trillion, one hundred eighty-nine billion, four hundred forty-one million, seven hundred sixteen thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 967 1794 1934 2691 2901 5382 5802 8703 12571 17406 22241 25142 37713 44482 66723 75426 113139 133446 200169 226278 289133 400338 420691 578266 841382 867399 1262073 1734798 2524146 2602197 3786219 5204394 5468983 7572438 9675893 10937966 16406949 19351786 29027679 32813898 49220847 58055358 87083037 98441694 125786609 174166074 251573218 377359827 406808197 754719654 813616394 1132079481 1220424591 2264158962 2440849182 3661273773 5288506561 7322547546 9356588531 10577013122 15865519683 18713177062 28069765593 31731039366 47596559049 56139531186 84209296779 95193118098 121635650903 168418593558 243271301806 364906952709 729813905418 1094720858127 2189441716254