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12473373952 = 281343101863
BaseRepresentation
bin10111001110111100…
…01001010100000000
31012012021212001100001
423213132021110000
5201021140431302
65421415405344
7621046633504
oct134736112400
935167761301
1012473373952
115320992516
122501383854
13123a256560
14864842304
154d00c9787
hex2e7789500

12473373952 has 144 divisors (see below), whose sum is σ = 27740579328. Its totient is φ = 5560934400.

The previous prime is 12473373901. The next prime is 12473373989. The reversal of 12473373952 is 25937337421.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14453073 + ... + 14453935.

It is an arithmetic number, because the mean of its divisors is an integer number (192642912).

Almost surely, 212473373952 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 12473373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870289664).

12473373952 is an abundant number, since it is smaller than the sum of its proper divisors (15267205376).

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

12473373952 is a wasteful number, since it uses less digits than its factorization.

12473373952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1022 counting only the distinct ones).

The product of its digits is 952560, while the sum is 46.

The spelling of 12473373952 in words is "twelve billion, four hundred seventy-three million, three hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 101 104 128 172 202 208 256 344 404 416 559 688 808 832 863 1118 1313 1376 1616 1664 1726 2236 2626 2752 3232 3328 3452 4343 4472 5252 5504 6464 6904 8686 8944 10504 11008 11219 12928 13808 17372 17888 21008 22438 25856 27616 34744 35776 37109 42016 44876 55232 56459 69488 71552 74218 84032 87163 89752 110464 112918 138976 143104 148436 168064 174326 179504 220928 225836 277952 296872 336128 348652 359008 451672 482417 555904 593744 697304 718016 903344 964834 1111808 1133119 1187488 1394608 1436032 1806688 1929668 2266238 2374976 2789216 2872064 3613376 3748009 3859336 4532476 4749952 5578432 7226752 7496018 7718672 9064952 9499904 11156864 14453504 14992036 15437344 18129904 22313728 29984072 30874688 36259808 48724117 59968144 61749376 72519616 97448234 119936288 123498752 145039232 194896468 239872576 290078464 389792936 479745152 779585872 959490304 1559171744 3118343488 6236686976 12473373952