Search a number
-
+
13095369216 = 293214919073
BaseRepresentation
bin11000011001000101…
…10111101000000000
31020210122020200102200
430030202313220000
5203304403303331
610003235113200
7642341541666
oct141442675000
936718220380
1013095369216
11560aaa3796
122655742800
1313090837a7
148c32b2c36
155199de5e6
hex30c8b7a00

13095369216 has 120 divisors (see below), whose sum is σ = 38049768900. Its totient is φ = 4335599616.

The previous prime is 13095369211. The next prime is 13095369227. The reversal of 13095369216 is 61296359031.

13095369216 is a `hidden beast` number, since 13 + 0 + 9 + 536 + 92 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9466511616 + 3628857600 = 97296^2 + 60240^2 .

It is not an unprimeable number, because it can be changed into a prime (13095369211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677056 + ... + 696128.

Almost surely, 213095369216 is an apocalyptic number.

13095369216 is a gapful number since it is divisible by the number (16) 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 13095369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19024884450).

13095369216 is an abundant number, since it is smaller than the sum of its proper divisors (24954399684).

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

13095369216 is a wasteful number, since it uses less digits than its factorization.

13095369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19246 (or 19227 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 13095369216 in words is "thirteen billion, ninety-five million, three hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 256 288 298 384 447 512 576 596 768 894 1152 1192 1341 1536 1788 2304 2384 2682 3576 4608 4768 5364 7152 9536 10728 14304 19072 19073 21456 28608 38144 38146 42912 57216 57219 76288 76292 85824 114432 114438 152584 171648 171657 228864 228876 305168 343296 343314 457752 610336 686592 686628 915504 1220672 1373256 1831008 2441344 2746512 2841877 3662016 4882688 5493024 5683754 7324032 8525631 9765376 10986048 11367508 14648064 17051262 21972096 22735016 25576893 29296128 34102524 43944192 45470032 51153786 68205048 87888384 90940064 102307572 136410096 181880128 204615144 272820192 363760256 409230288 545640384 727520512 818460576 1091280768 1455041024 1636921152 2182561536 3273842304 4365123072 6547684608 13095369216