Search a number
-
+
12256984098336 = 25317531381102611
BaseRepresentation
bin1011001001011100110100…
…1011101110011000100000
31121101202102021222220201110
42302113031023232120200
53101304300412121321
642022440351103320
72403352330552005
oct262271513563040
947352367886643
1012256984098336
1139a6180a9154a
12145b59b211b40
136abaa06a7833
14305353bab8ac
15163c73e62176
hexb25cd2ee620

12256984098336 has 192 divisors, whose sum is σ = 34735455732096. Its totient is φ = 3770006323200.

The previous prime is 12256984098299. The next prime is 12256984098341. The reversal of 12256984098336 is 63389048965221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119399671 + ... + 119502281.

It is an arithmetic number, because the mean of its divisors is an integer number (180913831938).

Almost surely, 212256984098336 is an apocalyptic number.

12256984098336 is a gapful number since it is divisible by the number (16) 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 12256984098336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367727866048).

12256984098336 is an abundant number, since it is smaller than the sum of its proper divisors (22478471633760).

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

12256984098336 is a wasteful number, since it uses less digits than its factorization.

12256984098336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104075 (or 104067 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 12256984098336 in words is "twelve trillion, two hundred fifty-six billion, nine hundred eighty-four million, ninety-eight thousand, three hundred thirty-six".