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55382828355 = 3353831071131
BaseRepresentation
bin110011100101000100…
…101110010101000011
312021221201120011222000
4303211010232111003
51401411001001410
641235330115043
74000303162611
oct634504562503
9167851504860
1055382828355
1121540187728
12a89771ba83
1352b8009c6a
1429755a66b1
15169221bdc0
hexce512e543

55382828355 has 32 divisors (see below), whose sum is σ = 98715525120. Its totient is φ = 29460359520.

The previous prime is 55382828353. The next prime is 55382828399.

55382828355 is a `hidden beast` number, since 5 + 5 + 3 + 8 + 282 + 8 + 355 = 666.

55382828355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55382828355 - 21 = 55382828353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55382828351) 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, 483861 + ... + 587270.

It is an arithmetic number, because the mean of its divisors is an integer number (3084860160).

Almost surely, 255382828355 is an apocalyptic number.

55382828355 is a deficient number, since it is larger than the sum of its proper divisors (43332696765).

55382828355 is a wasteful number, since it uses less digits than its factorization.

55382828355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071528 (or 1071522 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The spelling of 55382828355 in words is "fifty-five billion, three hundred eighty-two million, eight hundred twenty-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 383 1149 1915 3447 5745 10341 17235 51705 1071131 3213393 5355655 9640179 16066965 28920537 48200895 144602685 410243173 1230729519 2051215865 3692188557 6153647595 11076565671 18460942785 55382828355