Search a number
-
+
12631903984 = 2472917921727
BaseRepresentation
bin10111100001110101…
…11000111011110000
31012121100011012122201
423300322320323300
5201332231411414
65445241312544
7625013261260
oct136072707360
935540135581
1012631903984
1153a2420477
122546495754
131264050bcb
1487b90b7a0
154dde91574
hex2f0eb8ef0

12631903984 has 80 divisors (see below), whose sum is σ = 29098137600. Its totient is φ = 5197554432.

The previous prime is 12631903967. The next prime is 12631904017. The reversal of 12631903984 is 48930913621.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 570529 + ... + 592255.

It is an arithmetic number, because the mean of its divisors is an integer number (363726720).

Almost surely, 212631903984 is an apocalyptic number.

12631903984 is a gapful number since it is divisible by the number (14) 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 12631903984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549068800).

12631903984 is an abundant number, since it is smaller than the sum of its proper divisors (16466233616).

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

12631903984 is a wasteful number, since it uses less digits than its factorization.

12631903984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21950 (or 21944 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 12631903984 in words is "twelve billion, six hundred thirty-one million, nine hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 179 203 232 358 406 464 716 812 1253 1432 1624 2506 2864 3248 5012 5191 10024 10382 20048 20764 21727 36337 41528 43454 72674 83056 86908 145348 152089 173816 290696 304178 347632 581392 608356 630083 1216712 1260166 2433424 2520332 3889133 4410581 5040664 7778266 8821162 10081328 15556532 17642324 27223931 31113064 35284648 54447862 62226128 70569296 108895724 112784857 217791448 225569714 435582896 451139428 789493999 902278856 1578987998 1804557712 3157975996 6315951992 12631903984