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1066464802206 = 23514929395011
BaseRepresentation
bin11111000010011100100…
…00010111010110011110
310202221201202200012200000
433201032100113112132
5114433104442132311
62133532133515130
7140022664151406
oct17411620272636
93687652605600
101066464802206
1138131563a5a1
12152830aa2aa6
137974b1a1a7b
143988d73b806
151cb1b816056
hexf84e41759e

1066464802206 has 96 divisors (see below), whose sum is σ = 2413638864000. Its totient is φ = 352911854880.

The previous prime is 1066464802181. The next prime is 1066464802219. The reversal of 1066464802206 is 6022084646601.

1066464802206 is a `hidden beast` number, since 106 + 6 + 46 + 480 + 2 + 20 + 6 = 666.

It is a super-2 number, since 2×10664648022062 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212822241 + ... + 212827251.

It is an arithmetic number, because the mean of its divisors is an integer number (25142071500).

Almost surely, 21066464802206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066464802206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206819432000).

1066464802206 is an abundant number, since it is smaller than the sum of its proper divisors (1347174061794).

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

1066464802206 is a wasteful number, since it uses less digits than its factorization.

1066464802206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1066464802206 in words is "one trillion, sixty-six billion, four hundred sixty-four million, eight hundred two thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 486 894 1341 2682 2939 4023 5011 5878 8046 8817 10022 12069 15033 17634 24138 26451 30066 36207 45099 52902 72414 79353 90198 135297 158706 238059 270594 405891 437911 476118 714177 746639 811782 875822 1217673 1313733 1428354 1493278 2239917 2435346 2627466 3941199 4479834 6719751 7882398 11823597 13439502 14727329 20159253 23647194 29454658 35470791 40318506 44181987 60477759 70941582 88363974 106412373 120955518 132545961 181433277 212824746 265091922 362866554 397637883 795275766 1192913649 2194372021 2385827298 3578740947 4388744042 6583116063 7157481894 13166232126 19749348189 39498696378 59248044567 118496089134 177744133701 355488267402 533232401103 1066464802206