Search a number
-
+
61065660065553 = 331113313172329327
BaseRepresentation
bin11011110001001111101001…
…11110011110011100010001
322000012211010211210212111000
431320213310332132130101
531000444432434044203
6333513102120012213
715601563661145133
oct1570476476363421
9260184124725430
1061065660065553
111850388a146090
126a22b26001069
13280c60c0cc410
141111845235053
1570d6d09084a3
hex3789f4f9e711

61065660065553 has 128 divisors (see below), whose sum is σ = 106688750837760. Its totient is φ = 34032536778240.

The previous prime is 61065660065551. The next prime is 61065660065563. The reversal of 61065660065553 is 35556006656016.

61065660065553 is a `hidden beast` number, since 6 + 10 + 6 + 566 + 0 + 0 + 65 + 5 + 5 + 3 = 666.

It is not a de Polignac number, because 61065660065553 - 21 = 61065660065551 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61065660065553.

It is not an unprimeable number, because it can be changed into a prime (61065660065551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2082218776 + ... + 2082248102.

It is an arithmetic number, because the mean of its divisors is an integer number (833505865920).

Almost surely, 261065660065553 is an apocalyptic number.

It is an amenable number.

61065660065553 is a deficient number, since it is larger than the sum of its proper divisors (45623090772207).

61065660065553 is a wasteful number, since it uses less digits than its factorization.

61065660065553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31396 (or 31390 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 61065660065553 in words is "sixty-one trillion, sixty-five billion, six hundred sixty million, sixty-five thousand, five hundred fifty-three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 313 351 429 939 1287 1723 2817 3443 3861 4069 5169 8451 10329 12207 15507 18953 22399 29327 30987 36621 44759 46521 56859 67197 87981 92961 109863 134277 170577 201591 246389 263943 322597 381251 402831 511731 539299 604773 739167 791829 967791 1143753 1208493 1617897 2217501 2903373 3431259 4193761 4853691 5932289 6652503 7010887 8710119 9179351 10293777 12581283 14561073 17796867 21032661 27538053 37743849 50530421 53390601 63097983 77119757 82614159 100972861 113231547 119331563 151591263 160171803 189293949 231359271 247842477 302918583 357994689 454773789 555834631 656895473 694077813 908755749 1073984067 1312647193 1364321367 1667503893 1970686419 2082233439 2726267247 3221952201 3937941579 5002511679 5912059257 7225850203 11813824737 15007535037 15816021773 17736177771 21677550609 35441474211 47448065319 65032651827 142344195957 173976239503 195097955481 205608283049 427032587871 521928718509 616824849147 1565786155527 1850474547441 2261691113539 4697358466581 5551423642323 6785073340617 20355220021851 61065660065553