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66066066000056 = 23194161672593859
BaseRepresentation
bin11110000010110001101000…
…11001010100100010111000
322122220212001201202121100102
433001120310121110202320
532124411300344000211
6352302155353054532
716626054463246643
oct1701306431244270
9278825051677312
1066066066000056
111a061508a11201
1274b00679b7448
132ab30073021c5
141245886888a5a
157987e3ab1a3b
hex3c16346548b8

66066066000056 has 128 divisors (see below), whose sum is σ = 137789993376000. Its totient is φ = 29582431718400.

The previous prime is 66066066000019. The next prime is 66066066000059. The reversal of 66066066000056 is 65000066066066.

It is a super-3 number, since 3×660660660000563 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66066066000059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24173255 + ... + 26767113.

It is an arithmetic number, because the mean of its divisors is an integer number (1076484323250).

Almost surely, 266066066000056 is an apocalyptic number.

It is an amenable number.

66066066000056 is an abundant number, since it is smaller than the sum of its proper divisors (71723927375944).

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

66066066000056 is a wasteful number, since it uses less digits than its factorization.

66066066000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594053 (or 2594049 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 47.

The spelling of 66066066000056 in words is "sixty-six trillion, sixty-six billion, sixty-six million, fifty-six", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 8 19 38 41 61 67 76 82 122 134 152 164 244 268 328 488 536 779 1159 1273 1558 2318 2501 2546 2747 3116 4087 4636 5002 5092 5494 6232 8174 9272 10004 10184 10988 16348 20008 21976 32696 47519 52193 77653 95038 104386 155306 167567 190076 208772 310612 335134 380152 417544 621224 670268 1340536 2593859 3183773 5187718 6367546 10375436 12735092 20750872 25470184 49283321 98566642 106348219 158225399 173788553 197133284 212696438 316450798 347577106 394266568 425392876 632901596 695154212 850785752 1265803192 1390308424 2020616161 3006282581 3301982507 4041232322 6012565162 6487241359 6603965014 7125330673 8082464644 10601101733 12025130324 12974482718 13207930028 14250661346 16164929288 21202203466 24050260648 25948965436 26415860056 28501322692 42404406932 51897930872 57002645384 84808813864 123257585821 135381282787 201420932927 246515171642 270762565574 402841865854 434645171053 493030343284 541525131148 805683731708 869290342106 986060686568 1083050262296 1611367463416 1738580684212 3477161368424 8258258250007 16516516500014 33033033000028 66066066000056