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10800114858 = 2331317904987
BaseRepresentation
bin10100000111011110…
…01010110010101010
31000212200022200101000
422003233022302222
5134104312133413
64543403535430
7531431314221
oct120357126252
930780280330
1010800114858
114642424165
122114b2a576
1310316b0710
1474651bcb8
15433259073
hex283bcacaa

10800114858 has 64 divisors (see below), whose sum is σ = 27366837120. Its totient is φ = 3127631616.

The previous prime is 10800114851. The next prime is 10800114863. The reversal of 10800114858 is 85841100801.

It is a happy number.

10800114858 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10800114851) 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 31 ways as a sum of consecutive naturals, for example, 440560 + ... + 464427.

It is an arithmetic number, because the mean of its divisors is an integer number (427606830).

Almost surely, 210800114858 is an apocalyptic number.

10800114858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10800114858 is an abundant number, since it is smaller than the sum of its proper divisors (16566722262).

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

10800114858 is a wasteful number, since it uses less digits than its factorization.

10800114858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905028 (or 905022 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 10800114858 in words is "ten billion, eight hundred million, one hundred fourteen thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 3978 5967 11934 904987 1809974 2714961 5429922 8144883 11764831 15384779 16289766 23529662 24434649 30769558 35294493 46154337 48869298 70588986 92308674 105883479 138463011 200002127 211766958 276926022 317650437 400004254 415389033 600006381 635300874 830778066 1200012762 1800019143 3600038286 5400057429 10800114858