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55340730369 = 32137143331321
BaseRepresentation
bin110011100010100100…
…001000100000000001
312021211210100101101100
4303202210020200001
51401314211332434
641231223525013
73666252306141
oct634244104001
9167753311340
1055340730369
1121519443901
12a8855b9769
1352ac38a502
14296db68921
15168d6a3699
hexce2908801

55340730369 has 24 divisors (see below), whose sum is σ = 80578851912. Its totient is φ = 36597795840.

The previous prime is 55340730359. The next prime is 55340730371. The reversal of 55340730369 is 96303704355.

55340730369 is a `hidden beast` number, since 553 + 4 + 0 + 7 + 30 + 3 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19687737969 + 35652992400 = 140313^2 + 188820^2 .

It is not a de Polignac number, because 55340730369 - 25 = 55340730337 is a prime.

It is a super-2 number, since 2×553407303692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55340730359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1751229 + ... + 1782549.

It is an arithmetic number, because the mean of its divisors is an integer number (3357452163).

Almost surely, 255340730369 is an apocalyptic number.

It is an amenable number.

55340730369 is a deficient number, since it is larger than the sum of its proper divisors (25238121543).

55340730369 is a wasteful number, since it uses less digits than its factorization.

55340730369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32897 (or 32894 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 55340730369 in words is "fifty-five billion, three hundred forty million, seven hundred thirty thousand, three hundred sixty-nine".

Divisors: 1 3 9 137 411 1233 1433 4299 12897 31321 93963 196321 281889 588963 1766889 4290977 12872931 38618793 44882993 134648979 403946937 6148970041 18446910123 55340730369