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55418005390289 = 1753401868117669
BaseRepresentation
bin11001001100111000000101…
…00001101000001111010001
321021012220120002011100122212
430212130002201220033101
524230432033334442124
6313510402532041505
714446550556366443
oct1446340241501721
9237186502140585
1055418005390289
111672670a331193
126270469a63295
1324bcb844c2469
14d98362584493
1566183984a40e
hex3267028683d1

55418005390289 has 32 divisors (see below), whose sum is σ = 59944404339360. Its totient is φ = 51037622272000.

The previous prime is 55418005390217. The next prime is 55418005390301. The reversal of 55418005390289 is 98209350081455.

It can be written as a sum of positive squares in 16 ways, for example, as 2797373326225 + 52620632064064 = 1672535^2 + 7254008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-55418005390289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55418005398289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3136445147 + ... + 3136462815.

It is an arithmetic number, because the mean of its divisors is an integer number (1873262635605).

Almost surely, 255418005390289 is an apocalyptic number.

It is an amenable number.

55418005390289 is a deficient number, since it is larger than the sum of its proper divisors (4526398949071).

55418005390289 is a wasteful number, since it uses less digits than its factorization.

55418005390289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26821.

The product of its (nonzero) digits is 15552000, while the sum is 59.

The spelling of 55418005390289 in words is "fifty-five trillion, four hundred eighteen billion, five million, three hundred ninety thousand, two hundred eighty-nine".

Divisors: 1 17 53 401 901 6817 8681 17669 21253 147577 300373 361301 460093 936457 3481081 7085269 7821581 15919769 59178377 120449573 153384589 184497293 375519257 2607538013 3136453981 6383827369 8129383217 61507220189 138199514689 1045622743213 3259882670017 55418005390289