Search a number
-
+
12056088576 = 21237220023
BaseRepresentation
bin10110011101001100…
…10101000000000000
31011010012122202102010
423032212111000000
5144142324313301
65312151452520
7604522030200
oct131646250000
934105582363
1012056088576
115127390874
122405687140
1311a197232c
1482525c400
154a864e5d6
hex2ce995000

12056088576 has 156 divisors (see below), whose sum is σ = 37395781152. Its totient is φ = 3444424704.

The previous prime is 12056088571. The next prime is 12056088587. The reversal of 12056088576 is 67588065021.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12056088571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592101 + ... + 612123.

Almost surely, 212056088576 is an apocalyptic number.

12056088576 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 12056088576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697890576).

12056088576 is an abundant number, since it is smaller than the sum of its proper divisors (25339692576).

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

12056088576 is an equidigital number, since it uses as much as digits as its factorization.

12056088576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20064 (or 20035 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 12056088576 in words is "twelve billion, fifty-six million, eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4096 4704 5376 6144 6272 7168 9408 10752 12288 12544 14336 18816 20023 21504 25088 28672 37632 40046 43008 50176 60069 75264 80092 86016 100352 120138 140161 150528 160184 200704 240276 280322 301056 320368 420483 480552 560644 602112 640736 840966 961104 981127 1121288 1281472 1681932 1922208 1962254 2242576 2562944 2943381 3363864 3844416 3924508 4485152 5125888 5886762 6727728 7688832 7849016 8970304 10251776 11773524 13455456 15377664 15698032 17940608 20503552 23547048 26910912 30755328 31396064 35881216 41007104 47094096 53821824 61510656 62792128 71762432 82014208 94188192 107643648 123021312 125584256 143524864 188376384 215287296 246042624 251168512 287049728 376752768 430574592 502337024 574099456 753505536 861149184 1004674048 1507011072 1722298368 2009348096 3014022144 4018696192 6028044288 12056088576