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54325333352345 = 51141271347256187
BaseRepresentation
bin11000101101000100110100…
…01100100101111110011001
321010100110011212221122002012
430112202122030211332121
524110031240314233340
6311312414050115305
714304606255330656
oct1426423214457631
9233313155848065
1054325333352345
1116345276467590
12611474427bb35
132440b1a95b413
14d5b508408c2d
156431d7397565
hex31689a325f99

54325333352345 has 64 divisors (see below), whose sum is σ = 73331187535872. Its totient is φ = 38292633792000.

The previous prime is 54325333352341. The next prime is 54325333352357.

54325333352345 is nontrivially palindromic in base 10.

54325333352345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54325333352345 - 22 = 54325333352341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54325333352293 and 54325333352302.

It is not an unprimeable number, because it can be changed into a prime (54325333352341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211925342 + ... + 212181528.

It is an arithmetic number, because the mean of its divisors is an integer number (1145799805248).

Almost surely, 254325333352345 is an apocalyptic number.

54325333352345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54325333352345 is a deficient number, since it is larger than the sum of its proper divisors (19005854183527).

54325333352345 is a wasteful number, since it uses less digits than its factorization.

54325333352345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256862.

The product of its digits is 29160000, while the sum is 50.

It can be divided in two parts, 5432533 and 3352345, that added together give a palindrome (8784878).

The spelling of 54325333352345 in words is "fifty-four trillion, three hundred twenty-five billion, three hundred thirty-three million, three hundred fifty-two thousand, three hundred forty-five".

Divisors: 1 5 11 41 55 205 271 347 451 1355 1735 2255 2981 3817 11111 14227 14905 19085 55555 71135 94037 122221 156497 256187 470185 611105 782485 1034407 1280935 2818057 3855517 5172035 10503667 14090285 19277585 42410687 52518335 69426677 88896889 115540337 212053435 347133385 444484445 577701685 763693447 977865779 2846493757 3644772449 3818467235 4889328895 14232468785 18223862245 24091056919 31311431327 40092496939 120455284595 156557156635 200462484695 265001626109 987733333679 1325008130545 4938666668395 10865066670469 54325333352345