Search a number
-
+
10289929068 = 22334322272
BaseRepresentation
bin10011001010101001…
…11101101101101100
3222120010022120001000
421211110331231230
5132033210212233
64421020520300
7512664645126
oct114524755554
928503276030
1010289929068
114400440011
121bb20b0090
13c7caa0333
146d8874216
1540357cd13
hex26553db6c

10289929068 has 108 divisors (see below), whose sum is σ = 27433280280. Its totient is φ = 3335450832.

The previous prime is 10289929063. The next prime is 10289929073. The reversal of 10289929068 is 86092998201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10289929068 is a `hidden beast` number, since 10 + 289 + 9 + 290 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (10289929063) and next prime (10289929073).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10289929061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45329971 + ... + 45330197.

Almost surely, 210289929068 is an apocalyptic number.

10289929068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10289929068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716640140).

10289929068 is an abundant number, since it is smaller than the sum of its proper divisors (17143351212).

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

10289929068 is an equidigital number, since it uses as much as digits as its factorization.

10289929068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 10289929068 in words is "ten billion, two hundred eighty-nine million, nine hundred twenty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 227 258 387 454 516 681 774 908 1161 1362 1548 1849 2043 2322 2724 3698 4086 4644 5547 6129 7396 8172 9761 11094 12258 16641 19522 22188 24516 29283 33282 39044 49923 51529 58566 66564 87849 99846 103058 117132 154587 175698 199692 206116 263547 309174 351396 419723 463761 527094 618348 839446 927522 1054188 1259169 1391283 1678892 1855044 2215747 2518338 2782566 3777507 4431494 5036676 5565132 6647241 7555014 8862988 11332521 13294482 15110028 19941723 22665042 26588964 39883446 45330084 59825169 79766892 95277121 119650338 190554242 239300676 285831363 381108484 571662726 857494089 1143325452 1714988178 2572482267 3429976356 5144964534 10289929068