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12906239000 = 235323954001
BaseRepresentation
bin11000000010100010…
…11001010000011000
31020022110100212112212
430001101121100120
5202412444122000
65532401254252
7634554135644
oct140121312030
936273325485
1012906239000
115523265426
122602334388
1312a8b33c15
148a611dc24
155080d0c35
hex301459418

12906239000 has 64 divisors (see below), whose sum is σ = 30327523200. Its totient is φ = 5140800000.

The previous prime is 12906238991. The next prime is 12906239009. The reversal of 12906239000 is 93260921.

It is an interprime number because it is at equal distance from previous prime (12906238991) and next prime (12906239009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12906239009) by changing a digit.

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, 212000 + ... + 266000.

It is an arithmetic number, because the mean of its divisors is an integer number (473867550).

Almost surely, 212906239000 is an apocalyptic number.

12906239000 is a gapful number since it is divisible by the number (10) 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 12906239000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163761600).

12906239000 is an abundant number, since it is smaller than the sum of its proper divisors (17421284200).

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

12906239000 is a wasteful number, since it uses less digits than its factorization.

12906239000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54261 (or 54247 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

Adding to 12906239000 its reverse (93260921), we get a palindrome (12999499921).

The spelling of 12906239000 in words is "twelve billion, nine hundred six million, two hundred thirty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 239 250 478 500 956 1000 1195 1912 2390 4780 5975 9560 11950 23900 29875 47800 54001 59750 108002 119500 216004 239000 270005 432008 540010 1080020 1350025 2160040 2700050 5400100 6750125 10800200 12906239 13500250 25812478 27000500 51624956 54001000 64531195 103249912 129062390 258124780 322655975 516249560 645311950 1290623900 1613279875 2581247800 3226559750 6453119500 12906239000