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1066512711660 = 2235113152126721
BaseRepresentation
bin11111000010100010001…
…11000111111111101100
310202221212002211021002020
433201101013013333230
5114433204223233120
62133541004430140
7140024115321204
oct17412107077754
93687762737066
101066512711660
1138133a692690
12152844b48350
13797580a7766
1439895c4d404
151cb20b2b640
hexf8511c7fec

1066512711660 has 96 divisors (see below), whose sum is σ = 3362799089664. Its totient is φ = 250208256000.

The previous prime is 1066512711617. The next prime is 1066512711661. The reversal of 1066512711660 is 661172156601.

It is a happy number.

It is a super-2 number, since 2×10665127116602 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1066512711661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26042901 + ... + 26083820.

It is an arithmetic number, because the mean of its divisors is an integer number (35029157184).

Almost surely, 21066512711660 is an apocalyptic number.

1066512711660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066512711660 is an abundant number, since it is smaller than the sum of its proper divisors (2296286378004).

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

1066512711660 is a wasteful number, since it uses less digits than its factorization.

1066512711660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52126775 (or 52126773 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 1066512711660 in words is "one trillion, sixty-six billion, five hundred twelve million, seven hundred eleven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 52126721 104253442 156380163 208506884 260633605 312760326 521267210 573393931 625520652 781900815 1042534420 1146787862 1563801630 1615928351 1720181793 2293575724 2866969655 3127603260 3231856702 3440363586 4847785053 5733939310 6463713404 6880727172 8079641755 8600908965 9695570106 11467878620 16159283510 17201817930 17775211861 19391140212 24238925265 32318567020 34403635860 35550423722 48477850530 53325635583 71100847444 88876059305 96955701060 106651271166 177752118610 213302542332 266628177915 355504237220 533256355830 1066512711660