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1066484435346 = 2321137145575271
BaseRepresentation
bin11111000010011110110…
…11010000100110010010
310202221210010121200021100
433201033123100212102
5114433130003412341
62133534114405230
7140023323062031
oct17411733204622
93687703550240
101066484435346
1138132572a230
12152837590816
1379752287205
14398921ac718
151cb1d3e33b6
hexf84f6d0992

1066484435346 has 48 divisors (see below), whose sum is σ = 2588910637248. Its totient is φ = 314442583200.

The previous prime is 1066484435323. The next prime is 1066484435363. The reversal of 1066484435346 is 6435344846601.

It is a happy number.

1066484435346 is a `hidden beast` number, since 1 + 0 + 6 + 64 + 8 + 4 + 43 + 534 + 6 = 666.

1066484435346 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10664844353462 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1066484435292 and 1066484435301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72780310 + ... + 72794961.

It is an arithmetic number, because the mean of its divisors is an integer number (53935638276).

Almost surely, 21066484435346 is an apocalyptic number.

1066484435346 is an abundant number, since it is smaller than the sum of its proper divisors (1522426201902).

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

1066484435346 is a wasteful number, since it uses less digits than its factorization.

1066484435346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145575327 (or 145575324 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 1066484435346 in words is "one trillion, sixty-six billion, four hundred eighty-four million, four hundred thirty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 145575271 291150542 436725813 873451626 1310177439 1601327981 2620354878 3202655962 4803983943 5386285027 9607967886 10772570054 14411951829 16158855081 28823903658 32317710162 48476565243 59249135297 96953130486 118498270594 177747405891 355494811782 533242217673 1066484435346