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10066776460 = 22513192037809
BaseRepresentation
bin10010110000000011…
…01101000110001100
3221222120102020012121
421120001231012030
5131104043321320
64342525542324
7504315121336
oct113001550614
927876366177
1010066776460
1142a6484174
121b4b4149a4
13c4579a980
146b6d86456
153ddb9d8aa
hex25806d18c

10066776460 has 48 divisors (see below), whose sum is σ = 23964645600. Its totient is φ = 3521332224.

The previous prime is 10066776449. The next prime is 10066776469. The reversal of 10066776460 is 6467766001.

It is a super-2 number, since 2×100667764602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10066776469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013965 + ... + 1023844.

It is an arithmetic number, because the mean of its divisors is an integer number (499263450).

Almost surely, 210066776460 is an apocalyptic number.

10066776460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066776460 is an abundant number, since it is smaller than the sum of its proper divisors (13897869140).

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

10066776460 is a wasteful number, since it uses less digits than its factorization.

10066776460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037850 (or 2037848 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 10066776460 in words is "ten billion, sixty-six million, seven hundred seventy-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 2037809 4075618 8151236 10189045 20378090 26491517 38718371 40756180 52983034 77436742 105966068 132457585 154873484 193591855 264915170 387183710 503338823 529830340 774367420 1006677646 2013355292 2516694115 5033388230 10066776460