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14386802796256 = 2511212919197557
BaseRepresentation
bin1101000101011011000001…
…0001010010011011100000
31212221100212000121220121111
43101112300101102123200
53341203133003440011
650333112253233104
73013261246023652
oct321266021223340
955840760556544
1014386802796256
11464745512a530
121744313192794
138048923a4c97
1437a479a106d2
1519e378dde121
hexd15b04526e0

14386802796256 has 48 divisors (see below), whose sum is σ = 30913443696240. Its totient is φ = 6536383866880.

The previous prime is 14386802796221. The next prime is 14386802796271. The reversal of 14386802796256 is 65269720868341.

It is a super-3 number, since 3×143868027962563 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14386802796191 and 14386802796200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8849371 + ... + 10348186.

It is an arithmetic number, because the mean of its divisors is an integer number (644030077005).

It is a 1-persistent number, because it is pandigital, but 2⋅14386802796256 = 28773605592512 is not.

Almost surely, 214386802796256 is an apocalyptic number.

14386802796256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14386802796256 is an abundant number, since it is smaller than the sum of its proper divisors (16526640899984).

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

14386802796256 is a wasteful number, since it uses less digits than its factorization.

14386802796256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19199707 (or 19199699 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 67.

The spelling of 14386802796256 in words is "fourteen trillion, three hundred eighty-six billion, eight hundred two million, seven hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 2129 4258 8516 17032 23419 34064 46838 68128 93676 187352 374704 749408 19197557 38395114 76790228 153580456 211173127 307160912 422346254 614321824 844692508 1689385016 3378770032 6757540064 40871598853 81743197706 163486395412 326972790824 449587587383 653945581648 899175174766 1307891163296 1798350349532 3596700699064 7193401398128 14386802796256