Search a number
-
+
14566412675346 = 2377912765352937
BaseRepresentation
bin1101001111111000000111…
…0110100110100100010010
31220120112110100022010120120
43103332001312212210102
53402124003121102341
650551415000251110
73032250166556220
oct323760166464422
956515410263516
1014566412675346
114706643234034
12177309a170a96
138187b725674c
14385037a97b10
151a3d8c236066
hexd3f81da6912

14566412675346 has 128 divisors (see below), whose sum is σ = 34034272174080. Its totient is φ = 4070475182592.

The previous prime is 14566412675329. The next prime is 14566412675431. The reversal of 14566412675346 is 64357621466541.

14566412675346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145664126753462 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14566412675346.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275138590 + ... + 275191526.

It is an arithmetic number, because the mean of its divisors is an integer number (265892751360).

Almost surely, 214566412675346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14566412675346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017136087040).

14566412675346 is an abundant number, since it is smaller than the sum of its proper divisors (19467859498734).

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

14566412675346 is a wasteful number, since it uses less digits than its factorization.

14566412675346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53808.

The product of its digits is 87091200, while the sum is 60.

The spelling of 14566412675346 in words is "fourteen trillion, five hundred sixty-six billion, four hundred twelve million, six hundred seventy-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 79 127 158 237 254 381 474 553 653 762 889 1106 1306 1659 1778 1959 2667 3318 3918 4571 5334 9142 10033 13713 20066 27426 30099 51587 52937 60198 70231 82931 103174 105874 140462 154761 158811 165862 210693 248793 309522 317622 361109 370559 421386 497586 580517 722218 741118 1083327 1111677 1161034 1741551 2166654 2223354 3483102 4182023 6551549 6722999 8364046 12546069 13103098 13445998 19654647 20168997 25092138 29274161 34567861 39309294 40337994 45860843 47060993 58548322 69135722 87822483 91721686 94121986 103703583 137582529 141182979 175644966 207407166 241975027 275165058 282365958 483950054 531116921 725925081 1062233842 1451850162 1593350763 2730861019 3186701526 3717818447 4390118347 5461722038 7435636894 8192583057 8780236694 11153455341 13170355041 16385166114 19116027133 22306910682 26340710082 30730828429 38232054266 57348081399 61461656858 92192485287 114696162798 184384970574 346819349413 693638698826 1040458048239 2080916096478 2427735445891 4855470891782 7283206337673 14566412675346