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11764508010 = 23529106312721
BaseRepresentation
bin10101111010011100…
…00010010101101010
31010100212222221001220
422331032002111222
5143043203224020
65223214122510
7564351445113
oct127516022552
933325887056
1011764508010
114a97837aa2
122343ab0436
131156431858
147d863b20a
1548cc55240
hex2bd38256a

11764508010 has 64 divisors (see below), whose sum is σ = 29238209280. Its totient is φ = 3025935360.

The previous prime is 11764508003. The next prime is 11764508023. The reversal of 11764508010 is 1080546711.

It is a happy number.

11764508010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 918450 + ... + 931170.

It is an arithmetic number, because the mean of its divisors is an integer number (456847020).

Almost surely, 211764508010 is an apocalyptic number.

11764508010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11764508010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619104640).

11764508010 is an abundant number, since it is smaller than the sum of its proper divisors (17473701270).

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

11764508010 is a wasteful number, since it uses less digits than its factorization.

11764508010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13823.

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 11764508010 in words is "eleven billion, seven hundred sixty-four million, five hundred eight thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1063 2126 3189 5315 6378 10630 12721 15945 25442 30827 31890 38163 61654 63605 76326 92481 127210 154135 184962 190815 308270 368909 381630 462405 737818 924810 1106727 1844545 2213454 3689090 5533635 11067270 13522423 27044846 40567269 67612115 81134538 135224230 202836345 392150267 405672690 784300534 1176450801 1960751335 2352901602 3921502670 5882254005 11764508010