Search a number
-
+
13472224768 = 2941897211
BaseRepresentation
bin11001000110000000…
…11101011000000000
31021202220100221001201
430203000131120000
5210042342143033
610104500310544
7654566010142
oct144300353000
937686327051
1013472224768
1157937a0962
12273b9a2454
131369180642
1491b370c92
1553cb3047d
hex32301d600

13472224768 has 80 divisors (see below), whose sum is σ = 27888371280. Its totient is φ = 6497075200.

The previous prime is 13472224757. The next prime is 13472224817. The reversal of 13472224768 is 86742227431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1864683 + ... + 1871893.

It is an arithmetic number, because the mean of its divisors is an integer number (348604641).

Almost surely, 213472224768 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 13472224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13944185640).

13472224768 is an abundant number, since it is smaller than the sum of its proper divisors (14416146512).

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

13472224768 is an frugal number, since it uses more digits than its factorization.

13472224768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359 (or 7343 counting only the distinct ones).

The product of its digits is 903168, while the sum is 46.

The spelling of 13472224768 in words is "thirteen billion, four hundred seventy-two million, two hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 89 128 164 178 256 328 356 512 656 712 1312 1424 2624 2848 3649 5248 5696 7211 7298 10496 11392 14422 14596 20992 22784 28844 29192 45568 57688 58384 115376 116768 230752 233536 295651 461504 467072 591302 641779 923008 934144 1182604 1283558 1846016 1868288 2365208 2567116 3692032 4730416 5134232 9460832 10268464 18921664 20536928 26312939 37843328 41073856 52625878 75686656 82147712 105251756 151373312 164295424 210503512 328590848 421007024 842014048 1684028096 3368056192 6736112384 13472224768