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56133100451205 = 33517234125937293
BaseRepresentation
bin11001100001101100000011…
…00000110011010110000101
321100202021100021200022011000
430300312001200303112011
524324141042203414310
6315215105041003513
714552324362204101
oct1460660140632605
9240667307608130
1056133100451205
1116981a068aa538
126366b79923599
1325424370acabb
14dc0bdc576901
1567523dc434c0
hex330d81833585

56133100451205 has 128 divisors (see below), whose sum is σ = 112945502960640. Its totient is φ = 26294189137920.

The previous prime is 56133100451201. The next prime is 56133100451243. The reversal of 56133100451205 is 50215400133165.

56133100451205 is a `hidden beast` number, since 5 + 6 + 1 + 33 + 100 + 4 + 512 + 0 + 5 = 666.

It is not a de Polignac number, because 56133100451205 - 22 = 56133100451201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56133100451205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56133100451201) 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 127 ways as a sum of consecutive naturals, for example, 10804462 + ... + 15132831.

It is an arithmetic number, because the mean of its divisors is an integer number (882386741880).

Almost surely, 256133100451205 is an apocalyptic number.

It is an amenable number.

56133100451205 is an abundant number, since it is smaller than the sum of its proper divisors (56812402509435).

56133100451205 is a wasteful number, since it uses less digits than its factorization.

56133100451205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25937388 (or 25937382 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 56133100451205 in words is "fifty-six trillion, one hundred thirty-three billion, one hundred million, four hundred fifty-one thousand, two hundred five".

Divisors: 1 3 5 9 15 17 23 27 41 45 51 69 85 115 123 135 153 205 207 255 345 369 391 459 615 621 697 765 943 1035 1107 1173 1845 1955 2091 2295 2829 3105 3485 3519 4715 5535 5865 6273 8487 10455 10557 14145 16031 17595 18819 25461 31365 42435 48093 52785 80155 94095 127305 144279 240465 432837 721395 2164185 25937293 77811879 129686465 233435637 389059395 440933981 596557739 700306911 1063429013 1167178185 1322801943 1789673217 2204669905 2982788695 3190287039 3501534555 3968405829 5317145065 5369019651 6614009715 8948366085 9570861117 10141481563 11905217487 15951435195 16107058953 18078293221 19842029145 24458867299 26845098255 28712583351 30424444689 47854305585 50707407815 54234879663 59526087435 73376601897 80535294765 90391466105 91273334067 122294336495 143562916755 152122223445 162704638989 220129805691 271174398315 273820002201 366883009485 415800744083 456366670335 488113916967 660389417073 813523194945 1100649028455 1247402232249 1369100011005 2079003720415 2440569584835 3301947085365 3742206696747 6237011161245 11226620090241 18711033483735 56133100451205