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289397514690 = 233510731633167
BaseRepresentation
bin1000011011000010110…
…11111010000111000010
31000122222121110222011000
410031201123322013002
514220141230432230
6340540345032430
726623353200424
oct4154133720702
91018877428130
10289397514690
11101807397149
1248106785716
13213a038556b
1410014d8a814
1577db991b60
hex43616fa1c2

289397514690 has 128 divisors (see below), whose sum is σ = 779431403520. Its totient is φ = 76403127744.

The previous prime is 289397514677. The next prime is 289397514691. The reversal of 289397514690 is 96415793982.

289397514690 is a `hidden beast` number, since 2 + 89 + 3 + 97 + 5 + 1 + 469 + 0 = 666.

It is a super-2 number, since 2×2893975146902 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (289397514691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91377487 + ... + 91380653.

It is an arithmetic number, because the mean of its divisors is an integer number (6089307840).

It is a 1-persistent number, because it is pandigital, but 2⋅289397514690 = 578795029380 is not.

Almost surely, 2289397514690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289397514690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389715701760).

289397514690 is an abundant number, since it is smaller than the sum of its proper divisors (490033888830).

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

289397514690 is a wasteful number, since it uses less digits than its factorization.

289397514690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 289397514690 in words is "two hundred eighty-nine billion, three hundred ninety-seven million, five hundred fourteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1605 1926 2889 3163 3167 3210 4815 5778 6326 6334 9489 9501 9630 14445 15815 15835 18978 19002 28467 28503 28890 31630 31670 47445 47505 56934 57006 85401 85509 94890 95010 142335 142515 170802 171018 284670 285030 338441 338869 427005 427545 676882 677738 854010 855090 1015323 1016607 1692205 1694345 2030646 2033214 3045969 3049821 3384410 3388690 5076615 5083035 6091938 6099642 9137907 9149463 10017221 10153230 10166070 15229845 15249105 18275814 18298926 20034442 30051663 30459690 30498210 45689535 45747315 50086105 60103326 90154989 91379070 91494630 100172210 150258315 180309978 270464967 300516630 450774945 540929934 901549890 1071842647 1352324835 2143685294 2704649670 3215527941 5359213235 6431055882 9646583823 10718426470 16077639705 19293167646 28939751469 32155279410 48232919115 57879502938 96465838230 144698757345 289397514690