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56453355335465 = 5112611529693953
BaseRepresentation
bin11001101011000000100100…
…01100001110111100101001
321101212212222101202001121122
430311200102030032330221
524344412432431213330
6320022151410345025
714614422525620234
oct1465402214167451
9241785871661548
1056453355335465
1116a95808395100
1263b905658b175
1325666b4348c0a
14dd24dd78c41b
1567d7347195e5
hex33581230ef29

56453355335465 has 24 divisors (see below), whose sum is σ = 75683138068104. Its totient is φ = 40383920332800.

The previous prime is 56453355335449. The next prime is 56453355335471.

56453355335465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 141493336336 + 56311861999129 = 376156^2 + 7504123^2 .

It is not a de Polignac number, because 56453355335465 - 24 = 56453355335449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56453355335398 and 56453355335407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764810072 + ... + 764883881.

It is an arithmetic number, because the mean of its divisors is an integer number (3153464086171).

Almost surely, 256453355335465 is an apocalyptic number.

56453355335465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56453355335465 is a deficient number, since it is larger than the sum of its proper divisors (19229782732639).

56453355335465 is a wasteful number, since it uses less digits than its factorization.

56453355335465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529694041 (or 1529694030 counting only the distinct ones).

The product of its digits is 729000000, while the sum is 62.

The spelling of 56453355335465 in words is "fifty-six trillion, four hundred fifty-three billion, three hundred fifty-five million, three hundred thirty-five thousand, four hundred sixty-five".

Divisors: 1 5 11 55 61 121 305 605 671 3355 7381 36905 1529693953 7648469765 16826633483 84133167415 93311331133 185092968313 466556655665 925464841565 1026424642463 5132123212315 11290671067093 56453355335465