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56405644650465 = 35113773137923833
BaseRepresentation
bin11001101001100111101100…
…11010011010011111100001
321101201022211100200010210020
430310303312122122133201
524343122230012303330
6315544221225024053
714611113312524235
oct1464636632323741
9241638740603706
1056405644650465
1116a77554a05320
1263ab960325029
13256204c97ca66
14dd00951085c5
1567c390d35210
hex334cf669a7e1

56405644650465 has 128 divisors (see below), whose sum is σ = 103247806090752. Its totient is φ = 26052949278720.

The previous prime is 56405644650419. The next prime is 56405644650493.

56405644650465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56405644650465 - 211 = 56405644648417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56405644650399 and 56405644650408.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60594189 + ... + 61518021.

It is an arithmetic number, because the mean of its divisors is an integer number (806623485084).

Almost surely, 256405644650465 is an apocalyptic number.

56405644650465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56405644650465 is a deficient number, since it is larger than the sum of its proper divisors (46842161440287).

56405644650465 is a wasteful number, since it uses less digits than its factorization.

56405644650465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924099.

The product of its (nonzero) digits is 207360000, while the sum is 60.

The spelling of 56405644650465 in words is "fifty-six trillion, four hundred five billion, six hundred forty-four million, six hundred fifty thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 37 55 73 111 137 165 185 219 365 407 411 555 685 803 1095 1221 1507 2035 2055 2409 2701 4015 4521 5069 6105 7535 8103 10001 12045 13505 15207 22605 25345 29711 30003 40515 50005 55759 76035 89133 110011 148555 150015 167277 278795 330033 370037 445665 550055 836385 923833 1110111 1650165 1850185 2771499 4070407 4619165 5550555 10162163 12211221 13857495 20352035 30486489 34181821 50810815 61056105 67439809 102545463 126565121 152432445 170909105 202319427 337199045 376000031 379695363 512727315 632825605 741837899 1011597135 1128000093 1392216331 1880000155 1898476815 2225513697 2495272933 3709189495 4176648993 4682909477 5640000465 6961081655 7485818799 9239253833 11127568485 12476364665 14048728431 20883244965 23414547385 27448002263 27717761499 37429093995 46196269165 51512004247 70243642155 82344006789 101631792163 137240011315 138588807495 154536012741 257560021235 304895376489 341852391821 411720033945 508158960815 772680063705 1025557175463 1524476882445 1709261959105 3760376310031 5127785877315 11281128930093 18801881550155 56405644650465