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10712816980 = 2252292123369
BaseRepresentation
bin10011111101000100…
…01001110101010100
31000122121001111012021
421332202021311110
5133414440120410
64531004502524
7526321304365
oct117642116524
930577044167
1010712816980
1145a8118a58
1220ab84aa44
131019596678
14738ab5b6c
1542a762eda
hex27e889d54

10712816980 has 24 divisors (see below), whose sum is σ = 22498859880. Its totient is φ = 4284756480.

The previous prime is 10712816963. The next prime is 10712816993. The reversal of 10712816980 is 8961821701.

It is a happy number.

10712816980 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 4 ways, for example, as 79495056 + 10633321924 = 8916^2 + 103118^2 .

It is a super-2 number, since 2×107128169802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 446736 + ... + 470104.

It is an arithmetic number, because the mean of its divisors is an integer number (937452495).

Almost surely, 210712816980 is an apocalyptic number.

10712816980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10712816980 is an abundant number, since it is smaller than the sum of its proper divisors (11786042900).

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

10712816980 is a wasteful number, since it uses less digits than its factorization.

10712816980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46299 (or 46297 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 43.

The spelling of 10712816980 in words is "ten billion, seven hundred twelve million, eight hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 22921 23369 45842 46738 91684 93476 114605 116845 229210 233690 458420 467380 535640849 1071281698 2142563396 2678204245 5356408490 10712816980