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10027684269 = 322333477577
BaseRepresentation
bin10010101011011001…
…00101000110101101
3221212211212010210200
421111230211012231
5131014041344034
64335012024113
7503331624051
oct112554450655
927784763720
1010027684269
114286403679
121b3a302039
13c3a6613b5
146b1acbc61
153da52aa99
hex255b251ad

10027684269 has 12 divisors (see below), whose sum is σ = 14490671676. Its totient is φ = 6682243392.

The previous prime is 10027684267. The next prime is 10027684273. The reversal of 10027684269 is 96248672001.

It is a happy number.

10027684269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1103103369 + 8924580900 = 33213^2 + 94470^2 .

It is not a de Polignac number, because 10027684269 - 21 = 10027684267 is a prime.

It is a super-2 number, since 2×100276842692 (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 (10027684267) 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 11 ways as a sum of consecutive naturals, for example, 217792 + ... + 259785.

It is an arithmetic number, because the mean of its divisors is an integer number (1207555973).

Almost surely, 210027684269 is an apocalyptic number.

It is an amenable number.

10027684269 is a deficient number, since it is larger than the sum of its proper divisors (4462987407).

10027684269 is a wasteful number, since it uses less digits than its factorization.

10027684269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479916 (or 479913 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10027684269 in words is "ten billion, twenty-seven million, six hundred eighty-four thousand, two hundred sixty-nine".

Divisors: 1 3 9 2333 6999 20997 477577 1432731 4298193 1114187141 3342561423 10027684269