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10814045886 = 2337229140929
BaseRepresentation
bin10100001001001000…
…10011111010111110
31000220122112110011000
422010210103322332
5134121343432021
64545022311130
7531660605400
oct120444237276
930818473130
1010814045886
11464a279806
1221197284a6
13103454a627
14748306b70
154345abb26
hex284913ebe

10814045886 has 96 divisors (see below), whose sum is σ = 28918836000. Its totient is φ = 2983163904.

The previous prime is 10814045881. The next prime is 10814045887. The reversal of 10814045886 is 68854041801.

10814045886 is a `hidden beast` number, since 1 + 0 + 81 + 40 + 458 + 86 = 666.

10814045886 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10814045881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6270 + ... + 147198.

It is an arithmetic number, because the mean of its divisors is an integer number (301237875).

Almost surely, 210814045886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10814045886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459418000).

10814045886 is an abundant number, since it is smaller than the sum of its proper divisors (18104790114).

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

10814045886 is a wasteful number, since it uses less digits than its factorization.

10814045886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140983 (or 140970 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 10814045886 in words is "ten billion, eight hundred fourteen million, forty-five thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 882 1218 1323 1421 1566 1827 2646 2842 3654 4263 5481 8526 10962 12789 25578 38367 76734 140929 281858 422787 845574 986503 1268361 1973006 2536722 2959509 3805083 4086941 5919018 6905521 7610166 8173882 8878527 12260823 13811042 17757054 20716563 24521646 26635581 28608587 36782469 41433126 53271162 57217174 62149689 73564938 85825761 110347407 124299378 171651522 186449067 200260109 220694814 257477283 372898134 400520218 514954566 600780327 772431849 1201560654 1544863698 1802340981 3604681962 5407022943 10814045886