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12836309148 = 22321329721751
BaseRepresentation
bin10111111010001101…
…01000100010011100
31020010120210001211100
423331012220202130
5202242043343043
65521422353100
7633044553555
oct137506504234
936116701740
1012836309148
115497842063
1225a2a2b790
1312974bb300
1489ab1932c
15501dbacd3
hex2fd1a889c

12836309148 has 108 divisors (see below), whose sum is σ = 35499133488. Its totient is φ = 3908736000.

The previous prime is 12836309093. The next prime is 12836309149. The reversal of 12836309148 is 84190363821.

12836309148 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 630 + 9 + 1 + 4 + 8 = 666.

12836309148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12836309149) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 579273 + ... + 601023.

Almost surely, 212836309148 is an apocalyptic number.

12836309148 is a gapful number since it is divisible by the number (18) 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 12836309148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17749566744).

12836309148 is an abundant number, since it is smaller than the sum of its proper divisors (22662824340).

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

12836309148 is a wasteful number, since it uses less digits than its factorization.

12836309148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21884 (or 21866 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12836309148 in words is "twelve billion, eight hundred thirty-six million, three hundred nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 169 194 234 291 338 388 468 507 582 676 873 1014 1164 1261 1521 1746 2028 2522 3042 3492 3783 5044 6084 7566 11349 15132 16393 21751 22698 32786 43502 45396 49179 65253 65572 87004 98358 130506 147537 195759 196716 261012 282763 295074 391518 565526 590148 783036 848289 1131052 1696578 2109847 2544867 3393156 3675919 4219694 5089734 6329541 7351838 8439388 10179468 11027757 12659082 14703676 18988623 22055514 25318164 27428011 33083271 37977246 44111028 54856022 66166542 75954492 82284033 109712044 132333084 164568066 246852099 329136132 356564143 493704198 713128286 987408396 1069692429 1426256572 2139384858 3209077287 4278769716 6418154574 12836309148