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10760763141 = 332317328121
BaseRepresentation
bin10100000010110010…
…00011011100000101
31000202221021101222000
422001121003130011
5134014223410031
64535440255513
7530442656202
oct120131033405
930687241860
1010760763141
114622196687
122103911599
1310264b2c8b
147411d6ca9
1542ea843e6
hex281643705

10760763141 has 16 divisors (see below), whose sum is σ = 16634997120. Its totient is φ = 6861935520.

The previous prime is 10760763127. The next prime is 10760763149. The reversal of 10760763141 is 14136706701.

10760763141 is a `hidden beast` number, since 1 + 0 + 7 + 607 + 6 + 3 + 1 + 41 = 666.

It is not a de Polignac number, because 10760763141 - 26 = 10760763077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10760763096 and 10760763105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10760763149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8663440 + ... + 8664681.

It is an arithmetic number, because the mean of its divisors is an integer number (1039687320).

Almost surely, 210760763141 is an apocalyptic number.

It is an amenable number.

10760763141 is a deficient number, since it is larger than the sum of its proper divisors (5874233979).

10760763141 is a wasteful number, since it uses less digits than its factorization.

10760763141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17328153 (or 17328147 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10760763141 in words is "ten billion, seven hundred sixty million, seven hundred sixty-three thousand, one hundred forty-one".

Divisors: 1 3 9 23 27 69 207 621 17328121 51984363 155953089 398546783 467859267 1195640349 3586921047 10760763141