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55203417341757 = 3229211507346137
BaseRepresentation
bin11001000110101000011000…
…00101001011111100111101
321020110101200001220000122200
430203110030011023330331
524213423044314414012
6313224033321302113
714425213100152626
oct1443241405137475
9236411601800580
1055203417341757
1116653701a37233
126236960934939
1324a5876ac1709
14d8bc06c74a4d
1565ae7a8363dc
hex32350c14bf3d

55203417341757 has 12 divisors (see below), whose sum is σ = 82487864993820. Its totient is φ = 35533234150848.

The previous prime is 55203417341729. The next prime is 55203417341801. The reversal of 55203417341757 is 75714371430255.

55203417341757 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 3 + 4 + 173 + 417 + 57 = 666.

55203417341757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37868343683076 + 17335073658681 = 6153726^2 + 4163541^2 .

It is not a de Polignac number, because 55203417341757 - 236 = 55134697865021 is a prime.

It is a super-3 number, since 3×552034173417573 (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55203417341957) 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 11 ways as a sum of consecutive naturals, for example, 105753672808 + ... + 105753673329.

It is an arithmetic number, because the mean of its divisors is an integer number (6873988749485).

Almost surely, 255203417341757 is an apocalyptic number.

It is an amenable number.

55203417341757 is a deficient number, since it is larger than the sum of its proper divisors (27284447652063).

55203417341757 is a wasteful number, since it uses less digits than its factorization.

55203417341757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211507346172 (or 211507346169 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 55203417341757 in words is "fifty-five trillion, two hundred three billion, four hundred seventeen million, three hundred forty-one thousand, seven hundred fifty-seven".

Divisors: 1 3 9 29 87 261 211507346137 634522038411 1903566115233 6133713037973 18401139113919 55203417341757