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10861760106 = 2322572347981
BaseRepresentation
bin10100001110110100…
…10100111001101010
31001000222022120202100
422013122110321222
5134221102310411
64553445114230
7533110303041
oct120732247152
931028276670
1010861760106
1146741a914a
1221316b8976
1310413b54b2
147507a7558
15438884456
hex287694e6a

10861760106 has 24 divisors (see below), whose sum is σ = 23625394884. Its totient is φ = 3606497280.

The previous prime is 10861760089. The next prime is 10861760149. The reversal of 10861760106 is 60106716801.

10861760106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9935105625 + 926654481 = 99675^2 + 30441^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1169365 + ... + 1178616.

Almost surely, 210861760106 is an apocalyptic number.

10861760106 is an abundant number, since it is smaller than the sum of its proper divisors (12763634778).

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

10861760106 is a wasteful number, since it uses less digits than its factorization.

10861760106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348246 (or 2348243 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10861760106 in words is "ten billion, eight hundred sixty-one million, seven hundred sixty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 257 514 771 1542 2313 4626 2347981 4695962 7043943 14087886 21131829 42263658 603431117 1206862234 1810293351 3620586702 5430880053 10861760106