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54235511553245 = 51197167179340079
BaseRepresentation
bin11000101010011101100000…
…11001100111110011011101
321010000212100001101110122012
430111032300121213303131
524102043311424200440
6311203241113201005
714265246351540401
oct1425166031476335
9233025301343565
1054235511553245
111631017339a470
1260bb257100165
132435504a30179
14d57027057101
15640bcb9bae65
hex3153b0667cdd

54235511553245 has 64 divisors (see below), whose sum is σ = 72564039475200. Its totient is φ = 38586719016960.

The previous prime is 54235511553241. The next prime is 54235511553287.

54235511553245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54235511553245 - 22 = 54235511553241 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54235511553193 and 54235511553202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54235511553241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159309116 + ... + 159649194.

It is an arithmetic number, because the mean of its divisors is an integer number (1133813116800).

Almost surely, 254235511553245 is an apocalyptic number.

54235511553245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54235511553245 is a deficient number, since it is larger than the sum of its proper divisors (18328527921955).

54235511553245 is a wasteful number, since it uses less digits than its factorization.

54235511553245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340538.

The product of its digits is 9000000, while the sum is 50.

It can be divided in two parts, 5423551 and 1553245, that added together give a palindrome (6976796).

The spelling of 54235511553245 in words is "fifty-four trillion, two hundred thirty-five billion, five hundred eleven million, five hundred fifty-three thousand, two hundred forty-five".

Divisors: 1 5 11 55 97 167 179 485 835 895 1067 1837 1969 5335 9185 9845 16199 17363 29893 80995 86815 149465 178189 190993 328823 340079 890945 954965 1644115 1700395 2899621 3740869 14498105 18704345 31895831 32987663 56793193 60874141 159479155 164938315 283965965 304370705 362864293 624725123 669615551 1814321465 3123625615 3348077755 5508939721 5904791677 10165981547 27544698605 29523958385 50829907735 60598336931 64952708447 111825797017 302991684655 324763542235 559128985085 986100210059 4930501050295 10847102310649 54235511553245