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12489997752 = 2332435417457
BaseRepresentation
bin10111010000111011…
…00011110110111000
31012020110010121220100
423220131203312320
5201034414412002
65423211555400
7621341141421
oct135035436670
935213117810
1012489997752
11532a3071a1
122506a5bb60
13124082701b
14866b2c648
154d17b011c
hex2e8763db8

12489997752 has 96 divisors (see below), whose sum is σ = 34682384880. Its totient is φ = 4058449920.

The previous prime is 12489997747. The next prime is 12489997769. The reversal of 12489997752 is 25779998421.

12489997752 is a `hidden beast` number, since 12 + 489 + 9 + 97 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12489997752.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1671208 + ... + 1678664.

Almost surely, 212489997752 is an apocalyptic number.

12489997752 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 12489997752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17341192440).

12489997752 is an abundant number, since it is smaller than the sum of its proper divisors (22192387128).

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

12489997752 is a wasteful number, since it uses less digits than its factorization.

12489997752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8046 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 12489997752 in words is "twelve billion, four hundred eighty-nine million, nine hundred ninety-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 541 774 1032 1082 1548 1623 2164 3096 3246 4328 4869 6492 7457 9738 12984 14914 19476 22371 23263 29828 38952 44742 46526 59656 67113 69789 89484 93052 134226 139578 178968 186104 209367 268452 279156 320651 418734 536904 558312 641302 837468 961953 1282604 1674936 1923906 2565208 2885859 3847812 4034237 5771718 7695624 8068474 11543436 12102711 16136948 23086872 24205422 32273896 36308133 48410844 72616266 96821688 145232532 173472191 290465064 346944382 520416573 693888764 1040833146 1387777528 1561249719 2081666292 3122499438 4163332584 6244998876 12489997752