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10768010211 = 337233766949
BaseRepresentation
bin10100000011101001…
…01100101111100011
31000210102220121002000
422001310230233203
5134023102311321
64540255455043
7530561401530
oct120164545743
930712817060
1010768010211
1146262964a2
122106227483
131027b4c79a
14742161d87
15430516826
hex281d2cbe3

10768010211 has 64 divisors (see below), whose sum is σ = 19538688000. Its totient is φ = 5726464128.

The previous prime is 10768010167. The next prime is 10768010219. The reversal of 10768010211 is 11201086701.

10768010211 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 10768010211 - 27 = 10768010083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10768010219) 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 63 ways as a sum of consecutive naturals, for example, 127365 + ... + 194313.

It is an arithmetic number, because the mean of its divisors is an integer number (305292000).

Almost surely, 210768010211 is an apocalyptic number.

10768010211 is a deficient number, since it is larger than the sum of its proper divisors (8770677789).

10768010211 is a wasteful number, since it uses less digits than its factorization.

10768010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67025 (or 67019 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

Adding to 10768010211 its reverse (11201086701), we get a palindrome (21969096912).

The spelling of 10768010211 in words is "ten billion, seven hundred sixty-eight million, ten thousand, two hundred eleven".

Divisors: 1 3 7 9 21 23 27 37 63 69 111 161 189 207 259 333 483 621 777 851 999 1449 2331 2553 4347 5957 6993 7659 17871 22977 53613 66949 160839 200847 468643 602541 1405929 1539827 1807623 2477113 4217787 4619481 7431339 10778789 12653361 13858443 17339791 22294017 32336367 41575329 52019373 56973599 66882051 97009101 156058119 170920797 291027303 398815193 468174357 512762391 1196445579 1538287173 3589336737 10768010211