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14661587136048 = 2432375312859417
BaseRepresentation
bin1101010101011010101010…
…1100010110111000110000
31220220122010012211200100120
43111112222230112320300
53410203412301323143
651103235023250240
73042156540255066
oct325265254267060
956818105750316
1014661587136048
114742a42791026
12178961ba49980
138247740bc098
143898a5cac036
151a65ac9cb383
hexd55aab16e30

14661587136048 has 40 divisors (see below), whose sum is σ = 37877364281328. Its totient is φ = 4886989581312.

The previous prime is 14661587136041. The next prime is 14661587136101. The reversal of 14661587136048 is 84063178516641.

14661587136048 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-3 number, since 3×146615871360483 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14661587135982 and 14661587136000.

It is not an unprimeable number, because it can be changed into a prime (14661587136041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5289565 + ... + 7569852.

Almost surely, 214661587136048 is an apocalyptic number.

It is an amenable number.

14661587136048 is an abundant number, since it is smaller than the sum of its proper divisors (23215777145280).

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

14661587136048 is a wasteful number, since it uses less digits than its factorization.

14661587136048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883181 (or 12883175 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 14661587136048 in words is "fourteen trillion, six hundred sixty-one billion, five hundred eighty-seven million, one hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 23753 47506 71259 95012 142518 190024 285036 380048 570072 1140144 12859417 25718834 38578251 51437668 77156502 102875336 154313004 205750672 308626008 617252016 305449732001 610899464002 916349196003 1221798928004 1832698392006 2443597856008 3665396784012 4887195712016 7330793568024 14661587136048