Search a number
-
+
14253650896 = 2423374722273
BaseRepresentation
bin11010100011001010…
…10111001111010000
31100210100202111012011
431101211113033100
5213142413312041
610314213112304
71013135014342
oct152145271720
940710674164
1014253650896
1160548a5981
122919628694
13146202c274
14993063292
15586538e81
hex3519573d0

14253650896 has 80 divisors (see below), whose sum is σ = 30227065344. Its totient is φ = 6491308032.

The previous prime is 14253650863. The next prime is 14253650897. The reversal of 14253650896 is 69805635241.

14253650896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14253650897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628816 + ... + 651088.

Almost surely, 214253650896 is an apocalyptic number.

14253650896 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 14253650896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113532672).

14253650896 is an abundant number, since it is smaller than the sum of its proper divisors (15973414448).

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

14253650896 is a wasteful number, since it uses less digits than its factorization.

14253650896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22388 (or 22382 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 14253650896 in words is "fourteen billion, two hundred fifty-three million, six hundred fifty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 37 46 47 74 92 94 148 184 188 296 368 376 592 752 851 1081 1702 1739 2162 3404 3478 4324 6808 6956 8648 13616 13912 17296 22273 27824 39997 44546 79994 89092 159988 178184 319976 356368 512279 639952 824101 1024558 1046831 1648202 2049116 2093662 3296404 4098232 4187324 6592808 8196464 8374648 13185616 16749296 18954323 24077113 37908646 38732747 48154226 75817292 77465494 96308452 151634584 154930988 192616904 303269168 309861976 385233808 619723952 890853181 1781706362 3563412724 7126825448 14253650896