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1066135253166 = 233105671868387
BaseRepresentation
bin11111000001110101001…
…11001111000010101110
310202220212210120101101000
433200322213033002232
5114431421111100131
62133435322301130
7140011553062134
oct17407247170256
93686783511330
101066135253166
11381166613515
1215275a6577a6
13796c7b29339
143985ba75754
151caec91bce6
hexf83a9cf0ae

1066135253166 has 32 divisors (see below), whose sum is σ = 2369414926080. Its totient is φ = 355344596568.

The previous prime is 1066135253159. The next prime is 1066135253167. The reversal of 1066135253166 is 6613525316601.

It is a happy number.

1066135253166 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 3 + 52 + 531 + 66 = 666.

It is a super-2 number, since 2×10661352531662 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066135253167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363576 + ... + 1504811.

It is an arithmetic number, because the mean of its divisors is an integer number (74044216440).

Almost surely, 21066135253166 is an apocalyptic number.

1066135253166 is an abundant number, since it is smaller than the sum of its proper divisors (1303279672914).

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

1066135253166 is a wasteful number, since it uses less digits than its factorization.

1066135253166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878965 (or 1878959 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1066135253166 in words is "one trillion, sixty-six billion, one hundred thirty-five million, two hundred fifty-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 10567 21134 31701 63402 95103 190206 285309 570618 1868387 3736774 5605161 11210322 16815483 33630966 50446449 100892898 19743245429 39486490858 59229736287 118459472574 177689208861 355378417722 533067626583 1066135253166