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12926780416 = 210112172192
BaseRepresentation
bin11000000100111111…
…10000010000000000
31020100220000111002001
430002133300100000
5202433223433131
65534413433344
7635223551314
oct140237602000
936326014061
1012926780416
115533915500
12260919b854
1312b01768c4
148a8b49b44
15509cdc261
hex3027f0400

12926780416 has 297 divisors, whose sum is σ = 31844382717. Its totient is φ = 5239111680.

The previous prime is 12926780393. The next prime is 12926780429. The reversal of 12926780416 is 61408762921.

The square root of 12926780416 is 113696.

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., 10064102400 + 2862678016 = 100320^2 + 53504^2 .

It is a super-2 number, since 2×129267804162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 680356855 + ... + 680356873.

Almost surely, 212926780416 is an apocalyptic number.

12926780416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12926780416 is the 113696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12926780416

12926780416 is an abundant number, since it is smaller than the sum of its proper divisors (18917602301).

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

12926780416 is a wasteful number, since it uses less digits than its factorization.

12926780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 12926780416 in words is "twelve billion, nine hundred twenty-six million, seven hundred eighty thousand, four hundred sixteen".