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12325362448 = 24737432632
BaseRepresentation
bin10110111101010011…
…00001101100010000
31011210222100021201111
423132221201230100
5200220243044243
65355011143104
7614301565210
oct133651415420
934728307644
1012325362448
115255389263
12247b8a4a94
1312156a2799
1484cd14240
154c20de39d
hex2dea61b10

12325362448 has 120 divisors (see below), whose sum is σ = 28790810048. Its totient is φ = 5000921856.

The previous prime is 12325362431. The next prime is 12325362463. The reversal of 12325362448 is 84426352321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12325362448.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46864365 + ... + 46864627.

Almost surely, 212325362448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12325362448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395405024).

12325362448 is an abundant number, since it is smaller than the sum of its proper divisors (16465447600).

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

12325362448 is an equidigital number, since it uses as much as digits as its factorization.

12325362448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 352 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The spelling of 12325362448 in words is "twelve billion, three hundred twenty-five million, three hundred sixty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 43 56 74 86 112 148 172 259 263 296 301 344 518 526 592 602 688 1036 1052 1204 1591 1841 2072 2104 2408 3182 3682 4144 4208 4816 6364 7364 9731 11137 11309 12728 14728 19462 22274 22618 25456 29456 38924 44548 45236 68117 69169 77848 79163 89096 90472 136234 138338 155696 158326 178192 180944 272468 276676 316652 418433 484183 544936 553352 633304 836866 968366 1089872 1106704 1266608 1673732 1936732 2559253 2929031 2974267 3347464 3873464 5118506 5858062 5948534 6694928 7746928 10237012 11716124 11897068 17914771 20474024 20819869 23432248 23794136 35829542 40948048 41639738 46864496 47588272 71659084 83279476 110047879 143318168 166558952 220095758 286636336 333117904 440191516 770335153 880383032 1540670306 1760766064 3081340612 6162681224 12325362448