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14427632457 = 3272396171553
BaseRepresentation
bin11010110111111010…
…00011001101001001
31101020111010200000200
431123331003031021
5214021433214312
610343350122413
71020346565250
oct153375031511
941214120020
1014427632457
116134027897
122967950409
13148c0a6934
149ac1d1797
155969540dc
hex35bf43349

14427632457 has 48 divisors (see below), whose sum is σ = 23970885120. Its totient is φ = 8191282176.

The previous prime is 14427632447. The next prime is 14427632477. The reversal of 14427632457 is 75423672441.

14427632457 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 7 + 632 + 4 + 5 + 7 = 666.

It is not a de Polignac number, because 14427632457 - 212 = 14427628361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14427632447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9289393 + ... + 9290945.

It is an arithmetic number, because the mean of its divisors is an integer number (499393440).

Almost surely, 214427632457 is an apocalyptic number.

It is an amenable number.

14427632457 is a deficient number, since it is larger than the sum of its proper divisors (9543252663).

14427632457 is a wasteful number, since it uses less digits than its factorization.

14427632457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2419 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 14427632457 in words is "fourteen billion, four hundred twenty-seven million, six hundred thirty-two thousand, four hundred fifty-seven".

Divisors: 1 3 7 9 21 63 239 617 717 1553 1673 1851 2151 4319 4659 5019 5553 10871 12957 13977 15057 32613 38871 97839 147463 371167 442389 958201 1032241 1113501 1327167 2598169 2874603 3096723 3340503 6707407 7794507 8623809 9290169 20122221 23383521 60366663 229010039 687030117 1603070273 2061090351 4809210819 14427632457