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12239629092 = 223546327197
BaseRepresentation
bin10110110011000100…
…11110101100100100
31011121000000120200000
423121202132230210
5200031321112332
65342305421300
7612211062555
oct133142365444
934530016600
1012239629092
115210a51549
12245703a830
1312009b58a2
1484179832c
154b9806b7c
hex2d989eb24

12239629092 has 72 divisors (see below), whose sum is σ = 32155433856. Its totient is φ = 4070914848.

The previous prime is 12239629081. The next prime is 12239629139. The reversal of 12239629092 is 29092693221.

12239629092 is a `hidden beast` number, since 12 + 2 + 3 + 9 + 629 + 0 + 9 + 2 = 666.

12239629092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436438 + ... + 463634.

It is an arithmetic number, because the mean of its divisors is an integer number (446603248).

Almost surely, 212239629092 is an apocalyptic number.

12239629092 is a gapful number since it is divisible by the number (12) 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 12239629092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077716928).

12239629092 is an abundant number, since it is smaller than the sum of its proper divisors (19915804764).

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

12239629092 is a wasteful number, since it uses less digits than its factorization.

12239629092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27679 (or 27665 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 12239629092 in words is "twelve billion, two hundred thirty-nine million, six hundred twenty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 463 486 926 972 1389 1852 2778 4167 5556 8334 12501 16668 25002 27197 37503 50004 54394 75006 81591 108788 112509 150012 163182 225018 244773 326364 450036 489546 734319 979092 1468638 2202957 2937276 4405914 6608871 8811828 12592211 13217742 25184422 26435484 37776633 50368844 75553266 113329899 151106532 226659798 339989697 453319596 679979394 1019969091 1359958788 2039938182 3059907273 4079876364 6119814546 12239629092