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14358933072 = 24331115120011
BaseRepresentation
bin11010101111101101…
…11110111001010000
31101001200212101012000
431113312332321100
5213401341324242
610332453434000
71015553626431
oct152766767120
941050771160
1014358933072
1160a9274a40
12294893b900
13147aaa2103
149a302b488
155908d3a4c
hex357dbee50

14358933072 has 160 divisors (see below), whose sum is σ = 45262341120. Its totient is φ = 4322160000.

The previous prime is 14358933053. The next prime is 14358933077. The reversal of 14358933072 is 27033985341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14358933077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707547 + ... + 727557.

It is an arithmetic number, because the mean of its divisors is an integer number (282889632).

Almost surely, 214358933072 is an apocalyptic number.

14358933072 is a gapful number since it is divisible by the number (12) 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 14358933072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22631170560).

14358933072 is an abundant number, since it is smaller than the sum of its proper divisors (30903408048).

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

14358933072 is a wasteful number, since it uses less digits than its factorization.

14358933072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20190 (or 20178 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 14358933072 in words is "fourteen billion, three hundred fifty-eight million, nine hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 151 176 198 216 264 297 302 396 432 453 528 594 604 792 906 1188 1208 1359 1584 1661 1812 2376 2416 2718 3322 3624 4077 4752 4983 5436 6644 7248 8154 9966 10872 13288 14949 16308 19932 20011 21744 26576 29898 32616 39864 40022 44847 59796 60033 65232 79728 80044 89694 119592 120066 160088 179388 180099 220121 239184 240132 320176 358776 360198 440242 480264 540297 660363 717552 720396 880484 960528 1080594 1320726 1440792 1760968 1981089 2161188 2641452 2881584 3021661 3521936 3962178 4322376 5282904 5943267 6043322 7924356 8644752 9064983 10565808 11886534 12086644 15848712 18129966 23773068 24173288 27194949 31697424 33238271 36259932 47546136 48346576 54389898 66476542 72519864 81584847 95092272 99714813 108779796 132953084 145039728 163169694 199429626 217559592 265906168 299144439 326339388 398859252 435119184 531812336 598288878 652678776 797718504 897433317 1196577756 1305357552 1595437008 1794866634 2393155512 3589733268 4786311024 7179466536 14358933072