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289069489242912 = 25372107574316329
BaseRepresentation
bin100000110111010000011110…
…0001110001100001100100000
31101220111202212201120012102010
41001232200330032030030200
5300342103303221233122
62502444405020152520
7114613403264144400
oct10156407416141440
91356452781505363
10289069489242912
1184119755719294
122850772b098740
13c53b19c677ca1
145155076120800
152364562a24e0c
hex106e83c38c320

289069489242912 has 144 divisors (see below), whose sum is σ = 890943814524960. Its totient is φ = 81819401352192.

The previous prime is 289069489242899. The next prime is 289069489242917. The reversal of 289069489242912 is 219242984960982.

It is a super-2 number, since 2×2890694892429122 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (289069489242917) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 286654837 + ... + 287661492.

It is an arithmetic number, because the mean of its divisors is an integer number (6187109823090).

Almost surely, 2289069489242912 is an apocalyptic number.

It is an amenable number.

289069489242912 is an abundant number, since it is smaller than the sum of its proper divisors (601874325282048).

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

289069489242912 is a wasteful number, since it uses less digits than its factorization.

289069489242912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574316463 (or 574316448 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 75.

The spelling of 289069489242912 in words is "two hundred eighty-nine trillion, sixty-nine billion, four hundred eighty-nine million, two hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 107 112 147 168 196 214 224 294 321 336 392 428 588 642 672 749 784 856 1176 1284 1498 1568 1712 2247 2352 2568 2996 3424 4494 4704 5136 5243 5992 8988 10272 10486 11984 15729 17976 20972 23968 31458 35952 41944 62916 71904 83888 125832 167776 251664 503328 574316329 1148632658 1722948987 2297265316 3445897974 4020214303 4594530632 6891795948 8040428606 9189061264 12060642909 13783591896 16080857212 18378122528 24121285818 27567183792 28141500121 32161714424 48242571636 55134367584 56283000242 61451847203 64323428848 84424500363 96485143272 112566000484 122903694406 128646857696 168849000726 184355541609 192970286544 225132000968 245807388812 337698001452 368711083218 385940573088 430162930421 450264001936 491614777624 675396002904 737422166436 860325860842 900528003872 983229555248 1290488791263 1350792005808 1474844332872 1720651721684 1966459110496 2580977582526 2701584011616 2949688665744 3011140512947 3441303443368 5161955165052 5899377331488 6022281025894 6882606886736 9033421538841 10323910330104 12044562051788 13765213773472 18066843077682 20647820660208 24089124103576 36133686155364 41295641320416 48178248207152 72267372310728 96356496414304 144534744621456 289069489242912