Search a number
-
+
66345206511645 = 32573142332534363
BaseRepresentation
bin11110001010111001100100…
…11101110111100000011101
322200220112120111212211101200
433011130302131313200131
532143444440331333040
6353034322255030113
716655166031405305
oct1705346235674035
9280815514784350
1066345206511645
111a159931507086
12753618b50b339
132b03431675159
1412551a74d2605
157a0bced2b630
hex3c573277781d

66345206511645 has 96 divisors (see below), whose sum is σ = 116718205613568. Its totient is φ = 34856159376384.

The previous prime is 66345206511629. The next prime is 66345206511653. The reversal of 66345206511645 is 54611560254366.

66345206511645 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 520 + 6 + 51 + 1 + 64 + 5 = 666.

It is not a de Polignac number, because 66345206511645 - 24 = 66345206511629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66345206511591 and 66345206511600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15206325234 + ... + 15206329596.

It is an arithmetic number, because the mean of its divisors is an integer number (1215814641808).

Almost surely, 266345206511645 is an apocalyptic number.

It is an amenable number.

66345206511645 is a deficient number, since it is larger than the sum of its proper divisors (50372999101923).

66345206511645 is a wasteful number, since it uses less digits than its factorization.

66345206511645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 66345206511645 in words is "sixty-six trillion, three hundred forty-five billion, two hundred six million, five hundred eleven thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 1423 3253 3285 4269 4363 7115 9759 12807 13089 16265 21345 21815 29277 39267 48795 64035 65445 103879 146385 196335 237469 311637 318499 519395 712407 934911 955497 1187345 1558185 1592495 2137221 2866491 3562035 4629019 4674555 4777485 6208549 10686105 13887057 14192839 14332455 18625647 23145095 31042745 41661171 42578517 55876941 69435285 70964195 93128235 127735551 208305855 212892585 279384705 337918387 453224077 638677755 1013755161 1036077247 1359672231 1689591935 2266120385 3041265483 3108231741 4079016693 5068775805 5180386235 6798361155 9324695223 15206327415 15541158705 20196409897 20395083465 46623476115 60589229691 100982049485 181767689073 302946148455 908838445365 1474337922481 4423013767443 7371689612405 13269041302329 22115068837215 66345206511645