Search a number
-
+
6746464256 = 21377
BaseRepresentation
bin1100100100001111…
…01110000000000000
3122102011122220010112
412102013232000000
5102304043324011
63033240050452
7326120000000
oct62207560000
918364586115
106746464256
1129522264a4
121383463a28
138369260ac
14480000000
1529743758b
hex1921ee000

6746464256 has 112 divisors (see below), whose sum is σ = 15740786400. Its totient is φ = 2891341824.

The previous prime is 6746464253. The next prime is 6746464279. The reversal of 6746464256 is 6524646476.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746464253) by changing a digit.

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, 963780605 + ... + 963780611.

Almost surely, 26746464256 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 6746464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870393200).

6746464256 is an abundant number, since it is smaller than the sum of its proper divisors (8994322144).

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

6746464256 is an frugal number, since it uses more digits than its factorization.

6746464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 9 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 50.

The square root of 6746464256 is about 82136.8629544616. The cubic root of 6746464256 is about 1889.5515351134.

The spelling of 6746464256 in words is "six billion, seven hundred forty-six million, four hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 8192 9604 10976 12544 14336 16807 19208 21952 25088 28672 33614 38416 43904 50176 57344 67228 76832 87808 100352 117649 134456 153664 175616 200704 235298 268912 307328 351232 401408 470596 537824 614656 702464 823543 941192 1075648 1229312 1404928 1647086 1882384 2151296 2458624 2809856 3294172 3764768 4302592 4917248 6588344 7529536 8605184 9834496 13176688 15059072 17210368 19668992 26353376 30118144 34420736 52706752 60236288 68841472 105413504 120472576 137682944 210827008 240945152 421654016 481890304 843308032 963780608 1686616064 3373232128 6746464256