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10585729143 = 3211106926557
BaseRepresentation
bin10011101101111010…
…10110100001110111
31000022201220202110100
421312331112201313
5133134421313033
64510224525143
7523216133043
oct116675264167
930281822410
1010585729143
114542405a90
1220751807b3
13cc915a572
14725c73023
1541e50c513
hex276f56877

10585729143 has 12 divisors (see below), whose sum is σ = 16680543048. Its totient is φ = 6415593360.

The previous prime is 10585729117. The next prime is 10585729159. The reversal of 10585729143 is 34192758501.

10585729143 is a `hidden beast` number, since 1 + 0 + 585 + 7 + 29 + 1 + 43 = 666.

It is not a de Polignac number, because 10585729143 - 28 = 10585728887 is a prime.

It is a super-2 number, since 2×105857291432 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585729163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53463180 + ... + 53463377.

It is an arithmetic number, because the mean of its divisors is an integer number (1390045254).

Almost surely, 210585729143 is an apocalyptic number.

10585729143 is a deficient number, since it is larger than the sum of its proper divisors (6094813905).

10585729143 is a wasteful number, since it uses less digits than its factorization.

10585729143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106926574 (or 106926571 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10585729143 in words is "ten billion, five hundred eighty-five million, seven hundred twenty-nine thousand, one hundred forty-three".

Divisors: 1 3 9 11 33 99 106926557 320779671 962339013 1176192127 3528576381 10585729143