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56605135316274 = 23223796599262271
BaseRepresentation
bin11001101111011011010001…
…11110111010010100110010
321102102101202012112222010100
430313231220332322110302
524404404304120110044
6320220012402213230
714631405010310016
oct1467555076722462
9242371665488110
1056605135316274
1117044115214176
126422555354216
132577ac25c934c
14dd99bb6c4546
156826696ea869
hex337b68fba532

56605135316274 has 96 divisors (see below), whose sum is σ = 129616920576000. Its totient is φ = 17816790008160.

The previous prime is 56605135316239. The next prime is 56605135316281. The reversal of 56605135316274 is 47261353150665.

56605135316274 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 5 + 1 + 3 + 5 + 3 + 1 + 627 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56605135316274.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215695759 + ... + 215958029.

It is an arithmetic number, because the mean of its divisors is an integer number (1350176256000).

Almost surely, 256605135316274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56605135316274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64808460288000).

56605135316274 is an abundant number, since it is smaller than the sum of its proper divisors (73011785259726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56605135316274 is a wasteful number, since it uses less digits than its factorization.

56605135316274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268980 (or 268977 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 56605135316274 in words is "fifty-six trillion, six hundred five billion, one hundred thirty-five million, three hundred sixteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 79 138 158 207 237 414 474 711 1422 1817 3634 5451 6599 10902 13198 16353 19797 32706 39594 59391 118782 151777 262271 303554 455331 521321 524542 786813 910662 1042642 1365993 1563963 1573626 2360439 2731986 3127926 4691889 4720878 6032233 9383778 11990383 12064466 18096699 20719409 23980766 35971149 36193398 41438818 54290097 62158227 71942298 107913447 108580194 124316454 186474681 215826894 372949362 476546407 953092814 1429639221 1730726329 2859278442 3461452658 4288917663 5192178987 8577835326 10384357974 15576536961 31153073922 39806705567 79613411134 119420116701 136727379991 238840233402 273454759982 358260350103 410182139973 716520700206 820364279946 1230546419919 2461092839838 3144729739793 6289459479586 9434189219379 18868378438758 28302567658137 56605135316274