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14528677682541 = 3111737699941113
BaseRepresentation
bin1101001101101011100010…
…1011000001110101101101
31220102221001112020212211110
43103122320223001311231
53401014212441320131
650522214332342233
73026443114455021
oct323327053016555
956387045225743
1014528677682541
1146a1639876470
121767908914979
13815082516939
1438329824a381
151a2dce50c646
hexd36b8ac1d6d

14528677682541 has 32 divisors (see below), whose sum is σ = 22980466654848. Its totient is φ = 8063321610240.

The previous prime is 14528677682539. The next prime is 14528677682543.

14528677682541 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (14528677682539) and next prime (14528677682543).

It is not a de Polignac number, because 14528677682541 - 21 = 14528677682539 is a prime.

It is a super-2 number, since 2×145286776825412 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14528677682543) 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, 349949800 + ... + 349991313.

It is an arithmetic number, because the mean of its divisors is an integer number (718139582964).

Almost surely, 214528677682541 is an apocalyptic number.

14528677682541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14528677682541 is a deficient number, since it is larger than the sum of its proper divisors (8451788972307).

14528677682541 is a wasteful number, since it uses less digits than its factorization.

14528677682541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699941181.

The product of its digits is 180633600, while the sum is 66.

The spelling of 14528677682541 in words is "fourteen trillion, five hundred twenty-eight billion, six hundred seventy-seven million, six hundred eighty-two thousand, five hundred forty-one".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1887 6919 20757 699941113 2099823339 7699352243 11898998921 23098056729 25897821181 35696996763 77693463543 130888988131 284876032991 392666964393 440262960077 854628098973 1320788880231 4842892560847 14528677682541