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12688293112 = 2311438533931
BaseRepresentation
bin10111101000100011…
…11111110011111000
31012202021021001222221
423310101333303320
5201441200334422
65455014053424
7626266466125
oct136421776370
935667231887
1012688293112
115421235460
12256134a274
131272935461
148851c974c
154e3dce3c7
hex2f447fcf8

12688293112 has 64 divisors (see below), whose sum is σ = 26594789760. Its totient is φ = 5625244800.

The previous prime is 12688293071. The next prime is 12688293143. The reversal of 12688293112 is 21139288621.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 3225787 + ... + 3229717.

It is an arithmetic number, because the mean of its divisors is an integer number (415543590).

Almost surely, 212688293112 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 12688293112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13297394880).

12688293112 is an abundant number, since it is smaller than the sum of its proper divisors (13906496648).

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

12688293112 is a wasteful number, since it uses less digits than its factorization.

12688293112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4840 counting only the distinct ones).

The product of its digits is 82944, while the sum is 43.

The spelling of 12688293112 in words is "twelve billion, six hundred eighty-eight million, two hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 853 946 1706 1892 3412 3784 3931 6824 7862 9383 15724 18766 31448 36679 37532 43241 73358 75064 86482 146716 169033 172964 293432 338066 345928 403469 676132 806938 1352264 1613876 1859363 3227752 3353143 3718726 6706286 7437452 13412572 14874904 26825144 36884573 73769146 144185149 147538292 288370298 295076584 576740596 1153481192 1586036639 3172073278 6344146556 12688293112