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12919289152 = 2671123113983
BaseRepresentation
bin11000000100000110…
…01011010101000000
31020100100220212222211
430002003023111000
5202424314223102
65533545111504
7635103101020
oct140203132500
936310825884
1012919289152
11552a669180
122606788594
1312ab752bc3
148a7b59a80
1550930c7d7
hex3020cb540

12919289152 has 112 divisors (see below), whose sum is σ = 33352630272. Its totient is φ = 4814599680.

The previous prime is 12919289113. The next prime is 12919289161. The reversal of 12919289152 is 25198291921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 12919289096 and 12919289105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56353 + ... + 170335.

Almost surely, 212919289152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12919289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676315136).

12919289152 is an abundant number, since it is smaller than the sum of its proper divisors (20433341120).

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

12919289152 is a wasteful number, since it uses less digits than its factorization.

12919289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114036 (or 114026 counting only the distinct ones).

The product of its digits is 233280, while the sum is 49.

The spelling of 12919289152 in words is "twelve billion, nine hundred nineteen million, two hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 1012 1232 1288 1472 1771 2024 2464 2576 3542 4048 4928 5152 7084 8096 10304 14168 16192 28336 56672 113344 113983 227966 455932 797881 911864 1253813 1595762 1823728 2507626 2621609 3191524 3647456 5015252 5243218 6383048 7294912 8776691 10030504 10486436 12766096 17553382 18351263 20061008 20972872 25532192 28837699 35106764 36702526 40122016 41945744 51064384 57675398 70213528 73405052 80244032 83891488 115350796 140427056 146810104 167782976 201863893 230701592 280854112 293620208 403727786 461403184 561708224 587240416 807455572 922806368 1174480832 1614911144 1845612736 3229822288 6459644576 12919289152