10282771216 has 45 divisors (see below), whose sum is σ = 20202565429. Its totient is φ = 5070200000.

The previous prime is 10282771189. The next prime is 10282771223. The reversal of 10282771216 is 61217728201.

The square root of 10282771216 is 101404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9879564816 + 403206400 = 99396^2 + 20080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40967091 + ... + 40967341.

Almost surely, 2^10282771216 is an apocalyptic number.

10282771216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10282771216 is the 101404-th square number.

It is an amenable number.

10282771216 is a deficient number, since it is larger than the sum of its proper divisors (9919794213).

10282771216 is an frugal number, since it uses more digits than its factorization.

10282771216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 10282771216 in words is "ten billion, two hundred eighty-two million, seven hundred seventy-one thousand, two hundred sixteen".