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12239549952 = 29373136721
BaseRepresentation
bin10110110011000100…
…01011011000000000
31011120222212120002220
423121202023120000
5200031311044302
65342304011040
7612210313050
oct133142133000
934528776086
1012239549952
1152109a8043
122457000a80
131200988866
14841777560
154b97dd4bc
hex2d988b600

12239549952 has 160 divisors (see below), whose sum is σ = 38468204544. Its totient is φ = 3384115200.

The previous prime is 12239549951. The next prime is 12239549989. The reversal of 12239549952 is 25994593221.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12239549895 and 12239549904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12239549951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314952 + ... + 351672.

Almost surely, 212239549952 is an apocalyptic number.

12239549952 is a gapful number since it is divisible by the number (12) 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 12239549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234102272).

12239549952 is an abundant number, since it is smaller than the sum of its proper divisors (26228654592).

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

12239549952 is an equidigital number, since it uses as much as digits as its factorization.

12239549952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36780 (or 36764 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 51.

The spelling of 12239549952 in words is "twelve billion, two hundred thirty-nine million, five hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6944 7936 10416 10752 11904 13888 15872 20832 23808 27776 36721 41664 47616 55552 73442 83328 110163 111104 146884 166656 220326 257047 293768 333312 440652 514094 587536 771141 881304 1028188 1138351 1175072 1542282 1762608 2056376 2276702 2350144 3084564 3415053 3525216 4112752 4553404 4700288 6169128 6830106 7050432 7968457 8225504 9106808 9400576 12338256 13660212 14100864 15936914 16451008 18213616 18801152 23905371 24676512 27320424 28201728 31873828 32902016 36427232 47810742 49353024 54640848 56403456 63747656 65804032 72854464 95621484 98706048 109281696 127495312 131608064 145708928 191242968 197412096 218563392 254990624 291417856 382485936 394824192 437126784 509981248 582835712 764971872 874253568 1019962496 1529943744 1748507136 2039924992 3059887488 4079849984 6119774976 12239549952