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1060510010985 = 34511323172949
BaseRepresentation
bin11110110111010110101…
…00101000111001101001
310202101100202200110210000
433123223110220321221
5114333411030322420
62131105214013213
7136422266234145
oct17335324507151
93671322613700
101060510010985
1137983a287837
1215164a7a7209
137900c5a4679
143948693a225
151c8bdb5d690
hexf6eb528e69

1060510010985 has 40 divisors (see below), whose sum is σ = 1917886033800. Its totient is φ = 560599958016.

The previous prime is 1060510010951. The next prime is 1060510010993. The reversal of 1060510010985 is 5890100150601.

1060510010985 is a `hidden beast` number, since 1 + 0 + 60 + 510 + 0 + 1 + 0 + 9 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118470886416 + 942039124569 = 344196^2 + 970587^2 .

It is not a de Polignac number, because 1060510010985 - 210 = 1060510009961 is a prime.

It is a super-2 number, since 2×10605100109852 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 11540710 + ... + 11632239.

It is an arithmetic number, because the mean of its divisors is an integer number (47947150845).

Almost surely, 21060510010985 is an apocalyptic number.

1060510010985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1060510010985 is a deficient number, since it is larger than the sum of its proper divisors (857376022815).

1060510010985 is a wasteful number, since it uses less digits than its factorization.

1060510010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23173079 (or 23173070 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The spelling of 1060510010985 in words is "one trillion, sixty billion, five hundred ten million, ten thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 113 135 339 405 565 1017 1695 3051 5085 9153 15255 45765 23172949 69518847 115864745 208556541 347594235 625669623 1042782705 1877008869 2618543237 3128348115 7855629711 9385044345 13092716185 23566889133 39278148555 70700667399 117834445665 212102002197 353503336995 1060510010985