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12548016312 = 23313378831231
BaseRepresentation
bin10111010111110101…
…11000100010111000
31012101111022021101220
423223322320202320
5201144243010222
65433043312040
7622644243636
oct135372704270
935344267356
1012548016312
11535a034417
12252237b620
13124c85c130
14870712356
154d6920b5c
hex2ebeb88b8

12548016312 has 128 divisors (see below), whose sum is σ = 34763688960. Its totient is φ = 3749276160.

The previous prime is 12548016311. The next prime is 12548016373. The reversal of 12548016312 is 21361084521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12548016311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10192737 + ... + 10193967.

It is an arithmetic number, because the mean of its divisors is an integer number (271591320).

Almost surely, 212548016312 is an apocalyptic number.

12548016312 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 12548016312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381844480).

12548016312 is an abundant number, since it is smaller than the sum of its proper divisors (22215672648).

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

12548016312 is a wasteful number, since it uses less digits than its factorization.

12548016312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 12548016312 in words is "twelve billion, five hundred forty-eight million, sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 883 888 962 1231 1443 1766 1924 2462 2649 2886 3532 3693 3848 4924 5298 5772 7064 7386 9848 10596 11479 11544 14772 16003 21192 22958 29544 32006 32671 34437 45547 45916 48009 64012 65342 68874 91094 91832 96018 98013 128024 130684 136641 137748 182188 192036 196026 261368 273282 275496 364376 384072 392052 424723 546564 592111 784104 849446 1086973 1093128 1184222 1274169 1698892 1776333 2173946 2368444 2548338 3260919 3397784 3552666 4347892 4736888 5096676 6521838 7105332 8695784 10193352 13043676 14130649 14210664 26087352 28261298 40218001 42391947 56522596 80436002 84783894 113045192 120654003 160872004 169567788 241308006 321744008 339135576 482616012 522834013 965232024 1045668026 1568502039 2091336052 3137004078 4182672104 6274008156 12548016312