Search a number
-
+
14362565056 = 267172965029
BaseRepresentation
bin11010110000001001…
…10101100111000000
31101001221200220022221
431120010311213000
5213403304040211
610333103340424
71015626534340
oct153004654700
941057626287
1014362565056
116100325784
122949bb1714
13147b774308
149a36d4d20
15590d9ec71
hex3581359c0

14362565056 has 112 divisors (see below), whose sum is σ = 35678059200. Its totient is φ = 5593448448.

The previous prime is 14362565003. The next prime is 14362565093. The reversal of 14362565056 is 65056526341.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188350 + ... + 253378.

It is an arithmetic number, because the mean of its divisors is an integer number (318554100).

Almost surely, 214362565056 is an apocalyptic number.

14362565056 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 14362565056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17839029600).

14362565056 is an abundant number, since it is smaller than the sum of its proper divisors (21315494144).

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

14362565056 is a wasteful number, since it uses less digits than its factorization.

14362565056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65094 (or 65084 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 14362565056 in words is "fourteen billion, three hundred sixty-two million, five hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 64 68 112 116 119 136 203 224 232 238 272 406 448 464 476 493 544 812 928 952 986 1088 1624 1856 1904 1972 3248 3451 3808 3944 6496 6902 7616 7888 12992 13804 15776 27608 31552 55216 65029 110432 130058 220864 260116 455203 520232 910406 1040464 1105493 1820812 1885841 2080928 2210986 3641624 3771682 4161856 4421972 7283248 7543364 7738451 8843944 13200887 14566496 15086728 15476902 17687888 26401774 29132992 30173456 30953804 32059297 35375776 52803548 60346912 61907608 64118594 70751552 105607096 120693824 123815216 128237188 211214192 224415079 247630432 256474376 422428384 448830158 495260864 512948752 844856768 897660316 1025897504 1795320632 2051795008 3590641264 7181282528 14362565056