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12256738424 = 2371923831583
BaseRepresentation
bin10110110101000111…
…01111110001111000
31011122012012211020222
423122203233301320
5200100211112144
65344120235212
7612506362160
oct133243576170
934565184228
1012256738424
11521a677a97
12246090bb08
1312043c6358
14843b6d5a0
154bb0862ee
hex2da8efc78

12256738424 has 96 divisors (see below), whose sum is σ = 27809464320. Its totient is φ = 4960291392.

The previous prime is 12256738423. The next prime is 12256738469. The reversal of 12256738424 is 42483765221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12256738423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7741937 + ... + 7743519.

It is an arithmetic number, because the mean of its divisors is an integer number (289681920).

Almost surely, 212256738424 is an apocalyptic number.

12256738424 is a gapful number since it is divisible by the number (14) 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 12256738424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904732160).

12256738424 is an abundant number, since it is smaller than the sum of its proper divisors (15552725896).

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

12256738424 is a wasteful number, since it uses less digits than its factorization.

12256738424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1994 counting only the distinct ones).

The product of its digits is 645120, while the sum is 44.

The spelling of 12256738424 in words is "twelve billion, two hundred fifty-six million, seven hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 383 532 722 766 1064 1444 1532 1583 2527 2681 2888 3064 3166 5054 5362 6332 7277 10108 10724 11081 12664 14554 20216 21448 22162 29108 30077 44324 50939 58216 60154 88648 101878 120308 138263 203756 210539 240616 276526 407512 421078 553052 571463 606289 842156 967841 1106104 1142926 1212578 1684312 1935682 2285852 2425156 3871364 4000241 4244023 4571704 4850312 7742728 8000482 8488046 11519491 16000964 16976092 23038982 32001928 33952184 46077964 80636437 92155928 161272874 218870329 322545748 437740658 645091496 875481316 1532092303 1750962632 3064184606 6128369212 12256738424