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54335853345 = 35191423133979
BaseRepresentation
bin110010100110101010…
…110101001100100001
312012020202111100020210
4302212222311030201
51342234434301340
640543405524333
73632331063414
oct624652651441
9165222440223
1054335853345
1121053199924
12a644b736a9
13517c133517
1428b650bb7b
15163035c180
hexca6ab5321

54335853345 has 32 divisors (see below), whose sum is σ = 91578009600. Its totient is φ = 27434407104.

The previous prime is 54335853343. The next prime is 54335853409.

54335853345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54335853345 - 21 = 54335853343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54335853294 and 54335853303.

It is not an unprimeable number, because it can be changed into a prime (54335853343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338566 + ... + 472544.

It is an arithmetic number, because the mean of its divisors is an integer number (2861812800).

Almost surely, 254335853345 is an apocalyptic number.

It is an amenable number.

54335853345 is a deficient number, since it is larger than the sum of its proper divisors (37242156255).

54335853345 is a wasteful number, since it uses less digits than its factorization.

54335853345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135429.

The product of its digits is 6480000, while the sum is 48.

The spelling of 54335853345 in words is "fifty-four billion, three hundred thirty-five million, eight hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 57 95 285 1423 4269 7115 21345 27037 81111 133979 135185 401937 405555 669895 2009685 2545601 7636803 12728005 38184015 190652117 571956351 953260585 2859781755 3622390223 10867170669 18111951115 54335853345