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10042813865 = 5721631931303
BaseRepresentation
bin10010101101001100…
…10010110110101001
3221220220022210201002
421112212102312221
5131031430020430
64340312204345
7503604336500
oct112646226651
927826283632
1010042813865
1142939a7777
121b433996b5
13c4082aa16
146b3b09837
153dba18845
hex256992da9

10042813865 has 48 divisors (see below), whose sum is σ = 14188917888. Its totient is φ = 6803564544.

The previous prime is 10042813853. The next prime is 10042813871. The reversal of 10042813865 is 56831824001.

10042813865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042813865 - 24 = 10042813849 is a prime.

It is a super-2 number, since 2×100428138652 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 7706804 + ... + 7708106.

It is an arithmetic number, because the mean of its divisors is an integer number (295602456).

Almost surely, 210042813865 is an apocalyptic number.

It is an amenable number.

10042813865 is a deficient number, since it is larger than the sum of its proper divisors (4146104023).

10042813865 is a wasteful number, since it uses less digits than its factorization.

10042813865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 10042813865 in words is "ten billion, forty-two million, eight hundred thirteen thousand, eight hundred sixty-five".

Divisors: 1 5 7 35 49 163 193 245 815 965 1141 1303 1351 5705 6515 6755 7987 9121 9457 31459 39935 45605 47285 63847 157295 212389 220213 251479 319235 1061945 1101065 1257395 1486723 1541491 1760353 7433615 7707455 8801765 10407061 12322471 40991077 52035305 61612355 204955385 286937539 1434687695 2008562773 10042813865